Mathematical fact: 527 is the smallest number n for which there do not exist 4 smaller numbers so that a_{1}!.
Trivia: 527 is a number for which we're missing a fact (submit one to numbersapi at google mail!).
Historical date: June 10th is the day in 2002 that the first direct electronic communication experiment between the nervous systems of two humans is carried out by Kevin Warwick in the United Kingdom.