52564096 has 64 divisors (see below), whose sum is σ = 116524800. Its totient is φ = 23454720.

The previous prime is 52564079. The next prime is 52564121. The reversal of 52564096 is 69046525.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51075 + ... + 52093.

It is an arithmetic number, because the mean of its divisors is an integer number (1820700).

Almost surely, 2^52564096 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 52564096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58262400).

52564096 is an abundant number, since it is smaller than the sum of its proper divisors (63960704).

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

52564096 is a wasteful number, since it uses less digits than its factorization.

52564096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The square root of 52564096 is about 7250.1100681300. The cubic root of 52564096 is about 374.5959404892.

The spelling of 52564096 in words is "fifty-two million, five hundred sixty-four thousand, ninety-six".