52616564 has 96 divisors (see below), whose sum is σ = 131072256. Its totient is φ = 17786880.

The previous prime is 52616561. The next prime is 52616573. The reversal of 52616564 is 46561625.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52616561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67682 + ... + 68454.

It is an arithmetic number, because the mean of its divisors is an integer number (1365336).

Almost surely, 2^52616564 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 52616564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65536128).

52616564 is an abundant number, since it is smaller than the sum of its proper divisors (78455692).

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

52616564 is a wasteful number, since it uses less digits than its factorization.

52616564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 823 counting only the distinct ones).

The product of its digits is 43200, while the sum is 35.

The square root of 52616564 is about 7253.7275934515. The cubic root of 52616564 is about 374.7205360811.

It can be divided in two parts, 52 and 616564, that added together give a palindrome (616616).

The spelling of 52616564 in words is "fifty-two million, six hundred sixteen thousand, five hundred sixty-four".