509952938304 has 112 divisors (see below), whose sum is σ = 1426745488896. Its totient is φ = 160488652800.

The previous prime is 509952938279. The next prime is 509952938323. The reversal of 509952938304 is 403839259905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 800817 + ... + 1288880.

It is an arithmetic number, because the mean of its divisors is an integer number (12738799008).

Almost surely, 2^509952938304 is an apocalyptic number.

It is an amenable number.

509952938304 is an abundant number, since it is smaller than the sum of its proper divisors (916792550592).

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

509952938304 is a wasteful number, since it uses less digits than its factorization.

509952938304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089784 (or 2089774 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 57.

The spelling of 509952938304 in words is "five hundred nine billion, nine hundred fifty-two million, nine hundred thirty-eight thousand, three hundred four".