512672513874705 has 48 divisors (see below), whose sum is σ = 889885131408000. Its totient is φ = 273040140619008.

The previous prime is 512672513874623. The next prime is 512672513874707. The reversal of 512672513874705 is 507478315276215.

512672513874705 is a `hidden beast` number, since 5 + 1 + 2 + 6 + 7 + 25 + 138 + 7 + 470 + 5 = 666.

It is not a de Polignac number, because 512672513874705 - 2¹⁸ = 512672513612561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (512672513874707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88791156 + ... + 94388634.

It is an arithmetic number, because the mean of its divisors is an integer number (18539273571000).

Almost surely, 2^{512672513874705} is an apocalyptic number.

It is an amenable number.

512672513874705 is a deficient number, since it is larger than the sum of its proper divisors (377212617533295).

512672513874705 is a wasteful number, since it uses less digits than its factorization.

512672513874705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5600358 (or 5600355 counting only the distinct ones).

The product of its (nonzero) digits is 98784000, while the sum is 63.

The spelling of 512672513874705 in words is "five hundred twelve trillion, six hundred seventy-two billion, five hundred thirteen million, eight hundred seventy-four thousand, seven hundred five".