513315120 has 40 divisors (see below), whose sum is σ = 1591277616. Its totient is φ = 136883968.

The previous prime is 513315113. The next prime is 513315137. The reversal of 513315120 is 21513315.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×513315120² = 526984824841228800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1069167 + ... + 1069646.

Almost surely, 2^513315120 is an apocalyptic number.

It is an amenable number.

513315120 is an abundant number, since it is smaller than the sum of its proper divisors (1077962496).

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

513315120 is a wasteful number, since it uses less digits than its factorization.

513315120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138829 (or 2138823 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 513315120 is about 22656.4586817976. The cubic root of 513315120 is about 800.6843727089.

Adding to 513315120 its reverse (21513315), we get a palindrome (534828435).

The spelling of 513315120 in words is "five hundred thirteen million, three hundred fifteen thousand, one hundred twenty".