63531 has 16 divisors (see below), whose sum is σ = 101920. Its totient is φ = 38880.

The previous prime is 63527. The next prime is 63533. The reversal of 63531 is 13536.

63531 is a `hidden beast` number, since 635 + 31 = 666.

It is not a de Polignac number, because 63531 - 2² = 63527 is a prime.

It is a super-2 number, since 2×63531² = 8072375922, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (63533) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261 + ... + 441.

It is an arithmetic number, because the mean of its divisors is an integer number (6370).

2⁶³⁵³¹ is an apocalyptic number.

63531 is a deficient number, since it is larger than the sum of its proper divisors (38389).

63531 is a wasteful number, since it uses less digits than its factorization.

63531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 197 counting only the distinct ones).

The product of its digits is 270, while the sum is 18.

The square root of 63531 is about 252.0535657355. The cubic root of 63531 is about 39.9020520173.

It can be divided in two parts, 635 and 31, that added together give a palindrome (666).

The spelling of 63531 in words is "sixty-three thousand, five hundred thirty-one".