513313130 has 96 divisors (see below), whose sum is σ = 1091230272. Its totient is φ = 172339200.

The previous prime is 513313093. The next prime is 513313183. The reversal of 513313130 is 31313315.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2129810 + ... + 2130050.

It is an arithmetic number, because the mean of its divisors is an integer number (11366982).

Almost surely, 2^513313130 is an apocalyptic number.

513313130 is an abundant number, since it is smaller than the sum of its proper divisors (577917142).

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

513313130 is a wasteful number, since it uses less digits than its factorization.

513313130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 20.

The square root of 513313130 is about 22656.4147649181. The cubic root of 513313130 is about 800.6833380202.

Adding to 513313130 its reverse (31313315), we get a palindrome (544626445).

The spelling of 513313130 in words is "five hundred thirteen million, three hundred thirteen thousand, one hundred thirty".