252052 has 12 divisors (see below), whose sum is σ = 448756. Its totient is φ = 123840.

The previous prime is 252037. The next prime is 252079. The reversal of 252052 is 250252.

252052 = T₃₅₃ + T₃₅₄ + ... + T₃₅₆.

252052 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 125316 + 126736 = 354^2 + 356^2 .

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

252052 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 3 ways as a sum of consecutive naturals, for example, 273 + ... + 760.

2²⁵²⁰⁵² is an apocalyptic number.

It is an amenable number.

252052 is a deficient number, since it is larger than the sum of its proper divisors (196704).

252052 is a wasteful number, since it uses less digits than its factorization.

252052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 252052 is about 502.0478064886. The cubic root of 252052 is about 63.1679402637.

Adding to 252052 its product of nonzero digits (200), we get a palindrome (252252).

The spelling of 252052 in words is "two hundred fifty-two thousand, fifty-two".