516564144 has 30 divisors (see below), whose sum is σ = 1445662556. Its totient is φ = 172188000.

The previous prime is 516564143. The next prime is 516564161. The reversal of 516564144 is 441465615.

516564144 is a `hidden beast` number, since 5 + 1 + 6 + 5 + 641 + 4 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 516564099 and 516564108.

It is not an unprimeable number, because it can be changed into a prime (516564143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1793482 + ... + 1793769.

Almost surely, 2^516564144 is an apocalyptic number.

It is an amenable number.

516564144 is an abundant number, since it is smaller than the sum of its proper divisors (929098412).

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

516564144 is a wasteful number, since it uses less digits than its factorization.

516564144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3587265 (or 3587256 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 516564144 is about 22728.0475184297. The cubic root of 516564144 is about 802.3701295065.

The spelling of 516564144 in words is "five hundred sixteen million, five hundred sixty-four thousand, one hundred forty-four".