509509545876 has 72 divisors (see below), whose sum is σ = 1305321937920. Its totient is φ = 167557614336.

The previous prime is 509509545863. The next prime is 509509545943. The reversal of 509509545876 is 678545905905.

509509545876 is a `hidden beast` number, since 5 + 0 + 9 + 5 + 0 + 9 + 545 + 87 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 507100 + ... + 1129676.

It is an arithmetic number, because the mean of its divisors is an integer number (18129471360).

Almost surely, 2^509509545876 is an apocalyptic number.

It is an amenable number.

509509545876 is an abundant number, since it is smaller than the sum of its proper divisors (795812392044).

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

509509545876 is a wasteful number, since it uses less digits than its factorization.

509509545876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622893 (or 622888 counting only the distinct ones).

The product of its (nonzero) digits is 68040000, while the sum is 63.

The spelling of 509509545876 in words is "five hundred nine billion, five hundred nine million, five hundred forty-five thousand, eight hundred seventy-six".