516872445957 has 24 divisors (see below), whose sum is σ = 857076007424. Its totient is φ = 294031210464.

The previous prime is 516872445923. The next prime is 516872446063. The reversal of 516872445957 is 759544278615.

It is a happy number.

516872445957 is a `hidden beast` number, since 5 + 1 + 68 + 72 + 4 + 459 + 57 = 666.

It is not a de Polignac number, because 516872445957 - 2⁸ = 516872445701 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 516872445894 and 516872445903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516872445907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18381298 + ... + 18409395.

Almost surely, 2^516872445957 is an apocalyptic number.

It is an amenable number.

516872445957 is a deficient number, since it is larger than the sum of its proper divisors (340203561467).

516872445957 is a wasteful number, since it uses less digits than its factorization.

516872445957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36790929 (or 36790926 counting only the distinct ones).

The product of its digits is 84672000, while the sum is 63.

The spelling of 516872445957 in words is "five hundred sixteen billion, eight hundred seventy-two million, four hundred forty-five thousand, nine hundred fifty-seven".