52564 has 12 divisors (see below), whose sum is σ = 97524. Its totient is φ = 24704.

The previous prime is 52561. The next prime is 52567. The reversal of 52564 is 46525.

52564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52561) and next prime (52567).

It can be written as a sum of positive squares in 2 ways, for example, as 20164 + 32400 = 142^2 + 180^2 .

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52561) 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, 319 + ... + 454.

It is an arithmetic number, because the mean of its divisors is an integer number (8127).

2⁵²⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

52564 is a deficient number, since it is larger than the sum of its proper divisors (44960).

52564 is a wasteful number, since it uses less digits than its factorization.

52564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 792 counting only the distinct ones).

The product of its digits is 1200, while the sum is 22.

The square root of 52564 is about 229.2684016606. The cubic root of 52564 is about 37.4595712442.

It can be divided in two parts, 52 and 564, that added together give a palindrome (616).

The spelling of 52564 in words is "fifty-two thousand, five hundred sixty-four".