52564764 has 48 divisors (see below), whose sum is σ = 142829568. Its totient is φ = 14733888.

The previous prime is 52564741. The next prime is 52564769. The reversal of 52564764 is 46746525.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52564769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1452 + ... + 10355.

It is an arithmetic number, because the mean of its divisors is an integer number (2975616).

Almost surely, 2^52564764 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 52564764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71414784).

52564764 is an abundant number, since it is smaller than the sum of its proper divisors (90264804).

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

52564764 is a wasteful number, since it uses less digits than its factorization.

52564764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11874 (or 11872 counting only the distinct ones).

The product of its digits is 201600, while the sum is 39.

The square root of 52564764 is about 7250.1561362498. The cubic root of 52564764 is about 374.5975273076.

The spelling of 52564764 in words is "fifty-two million, five hundred sixty-four thousand, seven hundred sixty-four".