507575684952 has 144 divisors (see below), whose sum is σ = 1650707323200. Its totient is φ = 140343477120.

The previous prime is 507575684881. The next prime is 507575685007. The reversal of 507575684952 is 259486575705.

507575684952 is a `hidden beast` number, since 5 + 0 + 7 + 575 + 6 + 8 + 4 + 9 + 52 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 507575684952.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2211127 + ... + 2429862.

It is an arithmetic number, because the mean of its divisors is an integer number (11463245300).

Almost surely, 2^507575684952 is an apocalyptic number.

It is an amenable number.

507575684952 is an abundant number, since it is smaller than the sum of its proper divisors (1143131638248).

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

507575684952 is a wasteful number, since it uses less digits than its factorization.

507575684952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4641046 (or 4641032 counting only the distinct ones).

The product of its (nonzero) digits is 105840000, while the sum is 63.

The spelling of 507575684952 in words is "five hundred seven billion, five hundred seventy-five million, six hundred eighty-four thousand, nine hundred fifty-two".