509379109264 has 45 divisors (see below), whose sum is σ = 996364147233. Its totient is φ = 252275794176.

The previous prime is 509379109249. The next prime is 509379109273. The reversal of 509379109264 is 462901973905.

It is a happy number.

The square root of 509379109264 is 713708.

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

It can be written as a sum of positive squares in only one way, i.e., 8975667600 + 500403441664 = 94740^2 + 707392^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 322595227 + ... + 322596805.

Almost surely, 2^509379109264 is an apocalyptic number.

509379109264 is the 713708-th square number.

It is an amenable number.

509379109264 is a deficient number, since it is larger than the sum of its proper divisors (486985037969).

509379109264 is an frugal number, since it uses more digits than its factorization.

509379109264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 55.

The spelling of 509379109264 in words is "five hundred nine billion, three hundred seventy-nine million, one hundred nine thousand, two hundred sixty-four".