52524 has 18 divisors (see below), whose sum is σ = 132860. Its totient is φ = 17496.

The previous prime is 52517. The next prime is 52529. The reversal of 52524 is 42525.

52524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 52497 and 52506.

It is not an unprimeable number, because it can be changed into a prime (52529) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 694 + ... + 765.

2⁵²⁵²⁴ is an apocalyptic number.

It is an amenable number.

52524 is an abundant number, since it is smaller than the sum of its proper divisors (80336).

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

52524 is a wasteful number, since it uses less digits than its factorization.

52524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1464 counting only the distinct ones).

The product of its digits is 400, while the sum is 18.

The square root of 52524 is about 229.1811510574. The cubic root of 52524 is about 37.4500668744.

Subtracting from 52524 its reverse (42525), we obtain a palindrome (9999).

It can be divided in two parts, 52 and 524, that added together give a square (576 = 24²).

The spelling of 52524 in words is "fifty-two thousand, five hundred twenty-four".