507252 has 24 divisors (see below), whose sum is σ = 1213632. Its totient is φ = 164800.

The previous prime is 507217. The next prime is 507289. The reversal of 507252 is 252705.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 507252.

It is an unprimeable number.

507252 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24 + ... + 1007.

It is an arithmetic number, because the mean of its divisors is an integer number (50568).

2⁵⁰⁷²⁵² is an apocalyptic number.

It is an amenable number.

507252 is an abundant number, since it is smaller than the sum of its proper divisors (706380).

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

507252 is a wasteful number, since it uses less digits than its factorization.

507252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 507252 is about 712.2162592921. The cubic root of 507252 is about 79.7519399560.

Adding to 507252 its reverse (252705), we get a palindrome (759957).

The spelling of 507252 in words is "five hundred seven thousand, two hundred fifty-two".