513112264 has 64 divisors (see below), whose sum is σ = 1124121600. Its totient is φ = 215037504.

The previous prime is 513112247. The next prime is 513112277. The reversal of 513112264 is 462211315.

It is a happy 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, 611157 + ... + 611995.

It is an arithmetic number, because the mean of its divisors is an integer number (17564400).

Almost surely, 2^513112264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513112264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562060800).

513112264 is an abundant number, since it is smaller than the sum of its proper divisors (611009336).

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

513112264 is a wasteful number, since it uses less digits than its factorization.

513112264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1078 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The square root of 513112264 is about 22651.9814585833. The cubic root of 513112264 is about 800.5788851806.

Adding to 513112264 its reverse (462211315), we get a palindrome (975323579).

The spelling of 513112264 in words is "five hundred thirteen million, one hundred twelve thousand, two hundred sixty-four".