516252 has 24 divisors (see below), whose sum is σ = 1314432. Its totient is φ = 156400.

The previous prime is 516251. The next prime is 516253. The reversal of 516252 is 252615.

516252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (516251) and next prime (516253).

It is a super-2 number, since 2×516252² = 533032255008, which contains 22 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1824 + ... + 2087.

It is an arithmetic number, because the mean of its divisors is an integer number (54768).

2⁵¹⁶²⁵² is an apocalyptic number.

It is an amenable number.

516252 is an abundant number, since it is smaller than the sum of its proper divisors (798180).

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

516252 is a wasteful number, since it uses less digits than its factorization.

516252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3929 (or 3927 counting only the distinct ones).

The product of its digits is 600, while the sum is 21.

The square root of 516252 is about 718.5067849366. The cubic root of 516252 is about 80.2208480988.

Adding to 516252 its reverse (252615), we get a palindrome (768867).

The spelling of 516252 in words is "five hundred sixteen thousand, two hundred fifty-two".