63525 has 36 divisors (see below), whose sum is σ = 131936. Its totient is φ = 26400.

The previous prime is 63521. The next prime is 63527. The reversal of 63525 is 52536.

63525 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 63525 - 2² = 63521 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63521) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5770 + ... + 5780.

2⁶³⁵²⁵ is an apocalyptic number.

It is an amenable number.

63525 is an abundant number, since it is smaller than the sum of its proper divisors (68411).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65968).

63525 is a wasteful number, since it uses less digits than its factorization.

63525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 26 counting only the distinct ones).

The product of its digits is 900, while the sum is 21.

The square root of 63525 is about 252.0416632226. The cubic root of 63525 is about 39.9007958334.

Adding to 63525 its sum of digits (21), we get a triangular number (63546 = T₃₅₆).

Subtracting from 63525 its sum of digits (21), we obtain a square (63504 = 252²).

Multiplying 63525 by its sum of digits (21), we get a square (1334025 = 1155²).

63525 divided by its sum of digits (21) gives a square (3025 = 55²).

The spelling of 63525 in words is "sixty-three thousand, five hundred twenty-five".