509578967104 has 21 divisors (see below), whose sum is σ = 1011207095311. Its totient is φ = 254786628160.

The previous prime is 509578967089. The next prime is 509578967111. The reversal of 509578967104 is 401769875905.

The square root of 509578967104 is 713848.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5666169 + ... + 5755399.

Almost surely, 2^509578967104 is an apocalyptic number.

509578967104 is the 713848-th square number.

It is an amenable number.

509578967104 is a deficient number, since it is larger than the sum of its proper divisors (501628128207).

509578967104 is an frugal number, since it uses more digits than its factorization.

509578967104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178474 (or 89233 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 61.

The spelling of 509578967104 in words is "five hundred nine billion, five hundred seventy-eight million, nine hundred sixty-seven thousand, one hundred four".