Prince, who turns 90 at the end of this month, has enjoyed a six-decade career directing and producing classic musical hits such as The Phantom Of The Opera with Lloyd Webber; Fiddler On The Roof (by Jerry Bock and Sheldon Harnick); and Sweeney Todd and West Side Story with Stephen Sondheim.
Sondheim was the best man at Prince's wedding to his wife of 55 years, Judy Chaplin. They have a daughter, who is also a director, and a son, who is a music conductor.
Prince is still hard at work in theatre, saying he feels half his age and putting his energy down to good genes. "I don't exercise much," he says with a laugh.
He co-directed a musical biography of his life, Prince Of Broadway, which opened in 2015 and played in New York last year.
Following the Evita revival, he plans another documentary show based on a historical female figure - he will not say who. He calls Evita "one of the most satisfying experiences of my career" and says he has long wanted to revive the original production, with no changes.
"There is a saying here, 'If it ain't broke, don't fix it.' I believe Evita is close to perfect and I'm a tad embarrassed saying that, but it has been reflected in the comments of so many people who have seen it."
Evita was first a rock-opera concept album created by Lloyd Webber and Rice in 1976. Lloyd Webber sent the tapes to California hoping to rope in Prince to direct the stage production. Two years later, the musical opened in the West End and made the career of a then unknown actress, Elaine Paige, as Evita.
Prince recalls the first time he heard the Lloyd Webber-Rice tape of songs on the theme of Eva's rise to power, her quixotic term as First Lady and her tragic death from cancer in 1952, at age 33. Thousands of ordinary Argentinians poured onto the streets for her funeral.
He says: "Andrew and Tim's material was so theatrical and compelling and, at the same time, challenging. How do you put 200,000 people on a stage for a funeral of your iconic star? Just that problem hooked me."
Fewer than 30 actors simulate the crowds in Evita, a musical that is a massive spectacle with 80 loudspeakers and a lighting rig weighing five tonnes. These simulate the media circus that propelled Evita to cult personality, in tandem with her husband Juan Peron's election as president.
Prince compares the charismatic couple's political trajectory to those of media giant and former Italian leader Silvio Berlusconi and current United States President Donald Trump. "This story is still alive, still viral. It crops up everywhere," he says.
Eva Peron, from a nobody to an icon
In 1996, a movie version starring Madonna as Evita won an Oscar for best new song, You Must Love Me, written for the pop star by Lloyd Webber. The song appears in this production of Evita, but Prince says he did not like the movie version. He feels Madonna compares unfavourably with his first Evitas - Paige on the West End and Patti LuPone on Broadway.
This revival is produced by Lunchbox Theatrical Productions, Base Entertainment Asia and David Atkins Enterprises in association with David Ian and Pieter Toerien and by special arrangement with The Really Useful Group.
It opened late last year in Johannesburg, South Africa, and will tour Singapore, Australia and Japan before heading to Broadway.
Evita is played by London-born singer Emma Kingston and the creative team includes choreographer Larry Fuller and designer Timothy O'Brien, who worked on the original production.
For Kingston, the story of the Perons was part of her family history. Her mother is Argentinian and her grandfather recalls heading to the post office every Christmas for a free ice cream and lottery ticket handed out to Argentina's citizens by the grace of Eva.
When Kingston visited Buenos Aires in May last year for research, she was struck by how important Evita remains to contemporary Argentina. "There's graffiti of her face on buildings. She's still a very, very beloved figure in Argentina. Her legacy was of this very strong woman who loved her people. Knowing how she was with her people helps me interact with the company on stage."
Prince says Kingston has a "unique presence" which suits the role of Evita. "She demands your attention. She has a great range to her voice, which the score demands. She is fierce, but, at the same time, capable of changing colours instantly - she can be kind, vulnerable and demanding in each instance, when she needs to be. Emma is expert at this."
Evita's complex personality is the heart of this musical, which highlights the fact that one never knows the truth behind the public face of those in power. "We know what they want us to know, thanks to mics, films, flashbulbs, but who are they in their bedrooms?" says Prince.
For all of Eva's faults, he is impressed by her dedication to bettering herself. She started life as an impoverished, illegitimate child in a village and moved to the city to work her way up through the stage, film and radio.
"She came to the city an unattractive lady. I've seen photos," he says. "She really wasn't a handsome woman at all. She redesigned and reinvented herself and with a lot of courage and intelligence, she climbed her way to the top.
"Whether you love or hate her, you kind of admire her, however begrudgingly," he adds. "She ended up an iconic creature."