564252516 has 81 divisors (see below), whose sum is σ = 1479723609. Its totient is φ = 181290528.

The previous prime is 564252503. The next prime is 564252539. The reversal of 564252516 is 615252465.

The square root of 564252516 is 23754.

It is a perfect power (a square), and thus also a powerful number.

564252516 is a `hidden beast` number, since 5 + 642 + 5 + 2 + 5 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 504900900 + 59351616 = 22470^2 + 7704^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5273335 + ... + 5273441.

Almost surely, 2^564252516 is an apocalyptic number.

564252516 is the 23754-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564252516

564252516 is an abundant number, since it is smaller than the sum of its proper divisors (915471093).

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

564252516 is a wasteful number, since it uses less digits than its factorization.

564252516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 149 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The cubic root of 564252516 is about 826.3382094215.

Multiplying 564252516 by its sum of digits (36), we get a square (20313090576 = 142524²).

564252516 divided by its sum of digits (36) gives a square (15673681 = 3959²).

The spelling of 564252516 in words is "five hundred sixty-four million, two hundred fifty-two thousand, five hundred sixteen".