Perry, 26, rose to stardom in 2008 with her hit single "I Kissed a Girl" and by promoting herself as a sex kitten.
Her first stab at a music career was through a gospel music album. But the cover of her latest hit "Teenage Dream," features her lying naked on a pink cloud.
The "Firework" singer -- who wants her ashes shot out over the California coast in a firework -- said her friends had to sneak her CDs as a child because secular music was banned in her California home.
Phrases like "deviled eggs" and the name of the vacuum cleaner "Dirt Devil" were also banned, and Perry said she was led to believe that the family planning group Planned Parenthood was only an abortion clinic.
"I was always scared I was going to get bombed when I was there ... I didn't know it was more than that, that it was for women and their needs. I didn't have insurance, so I went there and I learned about birth control," she told Vanity Fair.
Perry married British comedian Russell Brand in a Hindu ceremony in India in October 2010. But she said that while Brand was involved in Hinduism, she was not, and that she had always questioned her family's strict Christian faith.
"I have always been the kid who's asked 'Why?' In my faith, you're just supposed to have faith. But I was always like ... why?" she said. "At this point, I'm just kind of a drifter. I'm open to possibility."
"My sponge is so big and wide and I'm soaking everything up and my mind has been radically expanded. Just being around different cultures and people and their opinions and perspectives. Just looking into the sky," Perry said.
Perry said she and Brand turned down millions of dollars for their wedding pictures because "we wanted the moment to ourselves."
She said that she hopes that her music remains the focus of fans, rather than her appearance or her personal life.
"I don't care what people say about my relationship; I don't care what people say about my boobs. People are buying my songs; I have a sold out tour. I'm getting incredible feedback from my music," Perry said. "I already know my future evolution, where I'm going to go."
(Reporting by Bernd Debusmann Jr., editing by Michelle Nichols)