513302720 has 56 divisors (see below), whose sum is σ = 1396922784. Its totient is φ = 175988736.

The previous prime is 513302711. The next prime is 513302747. The reversal of 513302720 is 27203315.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112337 + ... + 116816.

Almost surely, 2^513302720 is an apocalyptic number.

It is an amenable number.

513302720 is an abundant number, since it is smaller than the sum of its proper divisors (883620064).

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

513302720 is a wasteful number, since it uses less digits than its factorization.

513302720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229177 (or 229167 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 513302720 is about 22656.1850274930. The cubic root of 513302720 is about 800.6779253592.

The spelling of 513302720 in words is "five hundred thirteen million, three hundred two thousand, seven hundred twenty".