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(USA TODAY) Look for Arnold Schwarzenegger's public mea culpa on Sunday night.

The former California governor and bodybuilder-turned-action star is finally talking about his affair with his housekeeper -- in the name of promoting his new memoir,Total Recall: My Unbelievably True Life Story.

"I think it was the stupidest thing I've done in the whole relationship. It was terrible. I inflicted tremendous pain on Maria and unbelievable pain on the kids," Schwarzenegger tells Lesley Stahl on the 45th season premiere of60 Minutes(CBS, Sunday, 7 p.m.).

More:Arnold tells Maria about the affair in therapist's office

The affair with Mildred Baena resulted in a son named Joseph, who is now 14. Schwarzenegger also writes of another affair he had while married to Maria, according to a show release.

Shriver would not comment to60 Minutesabout the interview or the book, which Schwarzenegger says she has not read.

"She knows that it's about my whole life and that I would not write a book and kind of leave out that part and make people feel like, 'Well, wait a minute. Are we just getting a book about his success stories and not talk about his failures?' ... I wanted to write a book about me."