516564312 has 64 divisors (see below), whose sum is σ = 1491696000. Its totient is φ = 147325440.

The previous prime is 516564311. The next prime is 516564317. The reversal of 516564312 is 213465615.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516564311) 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, 53062 + ... + 62037.

It is an arithmetic number, because the mean of its divisors is an integer number (23307750).

Almost surely, 2^516564312 is an apocalyptic number.

It is an amenable number.

516564312 is an abundant number, since it is smaller than the sum of its proper divisors (975131688).

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

516564312 is a wasteful number, since it uses less digits than its factorization.

516564312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115136 (or 115132 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 516564312 is about 22728.0512143034. The cubic root of 516564312 is about 802.3702164903.

The spelling of 516564312 in words is "five hundred sixteen million, five hundred sixty-four thousand, three hundred twelve".