52536 has 32 divisors (see below), whose sum is σ = 144000. Its totient is φ = 15840.

The previous prime is 52529. The next prime is 52541. The reversal of 52536 is 63525.

52536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

52536 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165 + ... + 363.

It is an arithmetic number, because the mean of its divisors is an integer number (4500).

2⁵²⁵³⁶ 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 52536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72000).

52536 is an abundant number, since it is smaller than the sum of its proper divisors (91464).

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

52536 is a wasteful number, since it uses less digits than its factorization.

52536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 215 counting only the distinct ones).

The product of its digits is 900, while the sum is 21.

The square root of 52536 is about 229.2073297257. The cubic root of 52536 is about 37.4529186919.

It can be divided in two parts, 525 and 36, that added together give a triangular number (561 = T₃₃).

The spelling of 52536 in words is "fifty-two thousand, five hundred thirty-six".