513385520 has 20 divisors (see below), whose sum is σ = 1193621520. Its totient is φ = 205354176.

The previous prime is 513385493. The next prime is 513385541. The reversal of 513385520 is 25583315.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3208580 + ... + 3208739.

It is an arithmetic number, because the mean of its divisors is an integer number (59681076).

Almost surely, 2^513385520 is an apocalyptic number.

It is an amenable number.

513385520 is an abundant number, since it is smaller than the sum of its proper divisors (680236000).

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

513385520 is a wasteful number, since it uses less digits than its factorization.

513385520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6417332 (or 6417326 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 513385520 is about 22658.0122693938. The cubic root of 513385520 is about 800.7209750485.

The spelling of 513385520 in words is "five hundred thirteen million, three hundred eighty-five thousand, five hundred twenty".