53523 has 12 divisors (see below), whose sum is σ = 81640. Its totient is φ = 33696.

The previous prime is 53507. The next prime is 53527. The reversal of 53523 is 32535.

It is not a de Polignac number, because 53523 - 2⁴ = 53507 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 53496 and 53505.

It is not an unprimeable number, because it can be changed into a prime (53527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15 + ... + 327.

2⁵³⁵²³ is an apocalyptic number.

53523 is a deficient number, since it is larger than the sum of its proper divisors (28117).

53523 is a wasteful number, since it uses less digits than its factorization.

53523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 335 counting only the distinct ones).

The product of its digits is 450, while the sum is 18.

The square root of 53523 is about 231.3503836176. The cubic root of 53523 is about 37.6860091570.

It can be divided in two parts, 53 and 523, that added together give a square (576 = 24²).

The spelling of 53523 in words is "fifty-three thousand, five hundred twenty-three".