math_fact: 5382 is the number of non-intersecting rook paths joining opposite corners of a 6×4 chessboard.
trivia: 5382 is a number for which we're missing a fact (submit one to numbersapi at google mail!).
historical_date: September 25th is the day in 1555 that the Peace of Augsburg is signed in Augsburg by Charles V and the princes of the Schmalkaldic League.