10524 has 12 divisors (see below), whose sum is σ = 24584. Its totient is φ = 3504.

The previous prime is 10513. The next prime is 10529. The reversal of 10524 is 42501.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×10524² = 221509152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 877 = 10524 / (1 + 0 + 5 + 2 + 4).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10529) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 427 + ... + 450.

2¹⁰⁵²⁴ is an apocalyptic number.

It is an amenable number.

10524 is an abundant number, since it is smaller than the sum of its proper divisors (14060).

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 (12292).

10524 is a wasteful number, since it uses less digits than its factorization.

10524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 10524 is about 102.5865488259. The cubic root of 10524 is about 21.9142668865.

The spelling of 10524 in words is "ten thousand, five hundred twenty-four".