508121397664 has 48 divisors (see below), whose sum is σ = 1053605599200. Its totient is φ = 240554029824.

The previous prime is 508121397647. The next prime is 508121397673. The reversal of 508121397664 is 466793121805.

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 7 ways as a sum of consecutive naturals, for example, 854139 + ... + 1321285.

It is an arithmetic number, because the mean of its divisors is an integer number (21950116650).

It is a 2-persistent number, because it is pandigital, and so is 2⋅508121397664 = 1016242795328, but 3⋅508121397664 = 1524364192992 is not.

Almost surely, 2^508121397664 is an apocalyptic number.

It is an amenable number.

508121397664 is an abundant number, since it is smaller than the sum of its proper divisors (545484201536).

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

508121397664 is a wasteful number, since it uses less digits than its factorization.

508121397664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468965 (or 468957 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 508121397664 in words is "five hundred eight billion, one hundred twenty-one million, three hundred ninety-seven thousand, six hundred sixty-four".