513102120 has 32 divisors (see below), whose sum is σ = 1539306720. Its totient is φ = 136827200.

The previous prime is 513102113. The next prime is 513102179. The reversal of 513102120 is 21201315.

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 513102120.

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 7 ways as a sum of consecutive naturals, for example, 2137806 + ... + 2138045.

It is an arithmetic number, because the mean of its divisors is an integer number (48103335).

Almost surely, 2^513102120 is an apocalyptic number.

It is an amenable number.

513102120 is an abundant number, since it is smaller than the sum of its proper divisors (1026204600).

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

513102120 is a wasteful number, since it uses less digits than its factorization.

513102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4275865 (or 4275861 counting only the distinct ones).

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

The square root of 513102120 is about 22651.7575477048. The cubic root of 513102120 is about 800.5736094503.

Adding to 513102120 its reverse (21201315), we get a palindrome (534303435).

The spelling of 513102120 in words is "five hundred thirteen million, one hundred two thousand, one hundred twenty".