507152 has 20 divisors (see below), whose sum is σ = 1017420. Its totient is φ = 244608.

The previous prime is 507151. The next prime is 507163. The reversal of 507152 is 251705.

It can be written as a sum of positive squares in 2 ways, for example, as 414736 + 92416 = 644^2 + 304^2 .

It is a super-2 number, since 2×507152² = 514406302208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (507151) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83 + ... + 1010.

It is an arithmetic number, because the mean of its divisors is an integer number (50871).

2⁵⁰⁷¹⁵² is an apocalyptic number.

It is an amenable number.

507152 is an abundant number, since it is smaller than the sum of its proper divisors (510268).

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

507152 is a wasteful number, since it uses less digits than its factorization.

507152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 507152 is about 712.1460524359. The cubic root of 507152 is about 79.7466988279.

Adding to 507152 its reverse (251705), we get a palindrome (758857).

The spelling of 507152 in words is "five hundred seven thousand, one hundred fifty-two".