509678317512 has 96 divisors (see below), whose sum is σ = 1698927746880. Its totient is φ = 134420653440.

The previous prime is 509678317507. The next prime is 509678317523. The reversal of 509678317512 is 215713876905.

509678317512 is a `hidden beast` number, since 5 + 0 + 96 + 7 + 8 + 31 + 7 + 512 = 666.

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 23 ways as a sum of consecutive naturals, for example, 38888314 + ... + 38901417.

It is an arithmetic number, because the mean of its divisors is an integer number (17697164030).

Almost surely, 2^509678317512 is an apocalyptic number.

509678317512 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

509678317512 is an abundant number, since it is smaller than the sum of its proper divisors (1189249429368).

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

509678317512 is a wasteful number, since it uses less digits than its factorization.

509678317512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77789763 (or 77789756 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 509678317512 in words is "five hundred nine billion, six hundred seventy-eight million, three hundred seventeen thousand, five hundred twelve".