Just to make a proper answer, (read “shichi-go-san”, _not_ “nana-go-San”) refers to a traditional Japanese festival and is used in the literal meaning “seven, five, three”. From Wikipedia:
> Shichi-Go-San (, lit. "Seven-Five-Three") is a traditional rite of passage and festival day in Japan for three- and seven-year-old girls and five-year-old (and less commonly three-year-old) boys, held annually on November 15 to celebrate the growth and well-being of young children.
At a guess, the sentence refers to someone’s photo from this festival.
By the way, it’s not the case here but long numbers written out positionally with Kanji for numbers (plus for zero) without etc. do happen in Japanese (e.g. in price lists) although they’re rare in spoken speech AFAIK.