516016656 has 75 divisors (see below), whose sum is σ = 1495872543. Its totient is φ = 171732960.

The previous prime is 516016637. The next prime is 516016681. The reversal of 516016656 is 656610615.

The square root of 516016656 is 22716.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 516016656.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 817461 + ... + 818091.

Almost surely, 2^516016656 is an apocalyptic number.

516016656 is the 22716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516016656

516016656 is an abundant number, since it is smaller than the sum of its proper divisors (979855887).

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

516016656 is an frugal number, since it uses more digits than its factorization.

516016656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The cubic root of 516016656 is about 802.0865614287.

Multiplying 516016656 by its sum of digits (36), we get a square (18576599616 = 136296²).

516016656 divided by its sum of digits (36) gives a square (14333796 = 3786²).

Multiplying 516016656 by its product of nonzero digits (32400), we get a square (16718939654400 = 4088880²).

The spelling of 516016656 in words is "five hundred sixteen million, sixteen thousand, six hundred fifty-six".