513031152 has 80 divisors (see below), whose sum is σ = 1387117568. Its totient is φ = 163192320.

The previous prime is 513031139. The next prime is 513031153. The reversal of 513031152 is 251130315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513031153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106263 + ... + 110985.

Almost surely, 2^513031152 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 513031152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693558784).

513031152 is an abundant number, since it is smaller than the sum of its proper divisors (874086416).

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

513031152 is a wasteful number, since it uses less digits than its factorization.

513031152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4838 (or 4832 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 513031152 is about 22650.1909925722. The cubic root of 513031152 is about 800.5366981966.

Adding to 513031152 its reverse (251130315), we get a palindrome (764161467).

The spelling of 513031152 in words is "five hundred thirteen million, thirty-one thousand, one hundred fifty-two".