513384964 has 9 divisors (see below), whose sum is σ = 898502997. Its totient is φ = 256669824.

The previous prime is 513384943. The next prime is 513384979. The reversal of 513384964 is 469483315.

The square root of 513384964 is 22658.

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., 180687364 + 332697600 = 13442^2 + 18240^2 .

It is a super-2 number, since 2×513384964² = 527128242522562592, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 513384964.

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, 39652 + ... + 50980.

Almost surely, 2^513384964 is an apocalyptic number.

513384964 is the 22658-th square number.

It is an amenable number.

513384964 is a deficient number, since it is larger than the sum of its proper divisors (385118033).

513384964 is an frugal number, since it uses more digits than its factorization.

513384964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22662 (or 11331 counting only the distinct ones).

The product of its digits is 311040, while the sum is 43.

The cubic root of 513384964 is about 800.7206859863.

The spelling of 513384964 in words is "five hundred thirteen million, three hundred eighty-four thousand, nine hundred sixty-four".