Lady Gaga is one of the most beloved superstars on the planet, which might explain why she was chosen to cover Glamour's Women of the Year issue.

Gaga, who is also honored as one of Glamour's 2013 Women of the Year, stuns as the December cover girl, striking a pose in a metallic Gucci wrap dress. But believe it or not, Mother Monster doesn't consider herself "conventionally beautiful" -- she's grown to love who she is on the inside rather than the outside.

“If there was some sort of mathematical equation for beauty, I don’t know if I would be the algorithm," Lady Gaga tells Andy Cohen, who interviewed her for the Glamour story. "I’ve always been OK with that. I’m not a supermodel. That’s not what I do. What I do is music. I want my fans to feel the way I do, to know what they have to offer is just as important, more important, than what’s happening on the outside.”

"I’m confident in who I am," she adds. "I’ve come to a place in my life where I’ve accepted things that are me, as opposed to feeling pressure to explain myself to people around me. That’s just the way I’ve always tried to be. It didn’t change when I became a star.”

Speaking of becoming a star, Lady Gaga didn't just leave behind her normal day-to-day life, she let go of her real name: Stefani Germanotta. The "Applause" singer admits she only allows family and close friends to call her Stefani.

“I’m both all the time. Gaga and Stefani are my nicknames. I guess when people meet me for the first time and call me Stefani, it bothers me. Because it’s something that’s reserved for only the people who are closest to me," she explains. "It’s not because I don’t like my given name; it’s that I became somebody else. I became somebody else for a reason, you know. This is part of what my message is -- you can become whoever you want to be, to escape your past.”

See Gaga's gorgeous Glamour photo shoot below and pick up the new issue on newsstands Nov. 5:

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lady gaga

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