825

825 = 3 x 5² x 11.

825 is the number of legal ways to add two sets of parentheses to a product of nine variables.

825 is a Smith number. The sum of its digits is equal to the sum of the digits in its prime factorization: 8 + 2 + 5 = 3 + 5 + 5 + 1 + 1.

825 is the sum of six positive fifth powers: 825 = 3⁵ + 3⁵ + 3⁵ + 2⁵ + 2⁵ + 2⁵.


Asteroid 825 Tanina was discovered in 1916 and has a diameter of about 11 kilometers.

Source: What’s Special About This Number?