513012120 has 64 divisors (see below), whose sum is σ = 1541790720. Its totient is φ = 136558464.

The previous prime is 513012119. The next prime is 513012161. The reversal of 513012120 is 21210315.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 513012120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69319 + ... + 76361.

It is an arithmetic number, because the mean of its divisors is an integer number (24090480).

Almost surely, 2^513012120 is an apocalyptic number.

It is an amenable number.

513012120 is an abundant number, since it is smaller than the sum of its proper divisors (1028778600).

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

513012120 is a wasteful number, since it uses less digits than its factorization.

513012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7664 (or 7660 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 513012120 is about 22649.7708597681. The cubic root of 513012120 is about 800.5267988609.

Adding to 513012120 its reverse (21210315), we get a palindrome (534222435).

The spelling of 513012120 in words is "five hundred thirteen million, twelve thousand, one hundred twenty".