513473360 has 20 divisors (see below), whose sum is σ = 1193825748. Its totient is φ = 205389312.

The previous prime is 513473351. The next prime is 513473371. The reversal of 513473360 is 63374315.

It can be written as a sum of positive squares in 2 ways, for example, as 233111824 + 280361536 = 15268^2 + 16744^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 3209129 + ... + 3209288.

Almost surely, 2^513473360 is an apocalyptic number.

It is an amenable number.

513473360 is an abundant number, since it is smaller than the sum of its proper divisors (680352388).

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

513473360 is a wasteful number, since it uses less digits than its factorization.

513473360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6418430 (or 6418424 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 32.

The square root of 513473360 is about 22659.9505736442. The cubic root of 513473360 is about 800.7666400940.

The spelling of 513473360 in words is "five hundred thirteen million, four hundred seventy-three thousand, three hundred sixty".