Since going solo from One Direction, Styles, 28, has drawn comparisons with superstars including Jagger and David Bowie in their early days of fame, but the Rolling Stones star has shrugged off any suggestions of similarities.
Talking to The Sunday Times, Jagger said: "I like Harry — we have an easy relationship. I mean, I used to wear a lot more eye make-up than him. Come on, I was much more androgynous.
"And he doesn’t have a voice like mine or move on stage like me; he just has a superficial resemblance to my younger self, which is fine — he can’t help that."
Although it was announced this week that Styles, who headlined Coachella in April, had topped the Sunday Times Young Music Rich List with an estimated worth of £100million, he still has some way to go before he measures up to Jagger's fortune, too.
Jagger placed in the top 10 of the main Music Rich List at £318million.
Read more: Piers Morgan calls David Walliams 'creepy'
Styles, who has also been carving out a film career with releases this year to include Don't Worry Darling and My Policeman, will appear on CBeebies on Monday where he will read the Bedtime Story for the first time.
He was recently announced as the latest star to tell a story for the children's channel, where he will be reading In Every House, on Every Street written by Jess Hitchman and illustrated by Lili la Baleine.
The story is described as a heartwarming celebration of homes and the different families that live in them, and as he introduces the book Styles says: "Tonight’s bedtime story is about a house full of love and laughter."
Styles will read the CBeebies Bedtime Story at 6.50pm on Monday 23 May.
Watch: Harry Styles denies his new song Daylight is about Taylor Swift