513133520 has 40 divisors (see below), whose sum is σ = 1195113984. Its totient is φ = 204895872.

The previous prime is 513133507. The next prime is 513133531. The reversal of 513133520 is 25331315.

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

It is a super-3 number, since 3×513133520³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

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, 43277 + ... + 53843.

Almost surely, 2^513133520 is an apocalyptic number.

It is an amenable number.

513133520 is an abundant number, since it is smaller than the sum of its proper divisors (681980464).

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

513133520 is a wasteful number, since it uses less digits than its factorization.

513133520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11187 (or 11181 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 513133520 is about 22652.4506400522. The cubic root of 513133520 is about 800.5899398568.

Adding to 513133520 its reverse (25331315), we get a palindrome (538464835).

The spelling of 513133520 in words is "five hundred thirteen million, one hundred thirty-three thousand, five hundred twenty".