252516 has 24 divisors (see below), whose sum is σ = 643104. Its totient is φ = 76480.

The previous prime is 252509. The next prime is 252533. The reversal of 252516 is 615252.

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 junction number, because it is equal to n+sod(n) for n = 252492 and 252501.

It is an unprimeable number.

252516 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 825 + ... + 1088.

It is an arithmetic number, because the mean of its divisors is an integer number (26796).

2²⁵²⁵¹⁶ is an apocalyptic number.

It is an amenable number.

252516 is an abundant number, since it is smaller than the sum of its proper divisors (390588).

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

252516 is a wasteful number, since it uses less digits than its factorization.

252516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931 (or 1929 counting only the distinct ones).

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

The square root of 252516 is about 502.5097013989. The cubic root of 252516 is about 63.2066782453.

Adding to 252516 its product of digits (600), we get a triangular number (253116 = T₇₁₁).

Adding to 252516 its reverse (615252), we get a palindrome (867768).

The spelling of 252516 in words is "two hundred fifty-two thousand, five hundred sixteen".