53508 has 48 divisors (see below), whose sum is σ = 156800. Its totient is φ = 14112.

The previous prime is 53507. The next prime is 53527. The reversal of 53508 is 80535.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (53503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4110 + ... + 4122.

2⁵³⁵⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78400).

53508 is an abundant number, since it is smaller than the sum of its proper divisors (103292).

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

53508 is a wasteful number, since it uses less digits than its factorization.

53508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 53508 is about 231.3179629860. The cubic root of 53508 is about 37.6824882846.

It can be divided in two parts, 53 and 508, that added together give a triangular number (561 = T₃₃).

The spelling of 53508 in words is "fifty-three thousand, five hundred eight".