252133567 has 36 divisors (see below), whose sum is σ = 313192656. Its totient is φ = 202319040.

The previous prime is 252133547. The next prime is 252133603. The reversal of 252133567 is 765331252.

It is not a de Polignac number, because 252133567 - 2¹⁹ = 251609279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252133517) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1840323 + ... + 1840459.

It is an arithmetic number, because the mean of its divisors is an integer number (8699796).

Almost surely, 2^252133567 is an apocalyptic number.

252133567 is a deficient number, since it is larger than the sum of its proper divisors (61059089).

252133567 is a wasteful number, since it uses less digits than its factorization.

252133567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 238 counting only the distinct ones).

The product of its digits is 37800, while the sum is 34.

The square root of 252133567 is about 15878.7142741470. The cubic root of 252133567 is about 631.7475349234.

The spelling of 252133567 in words is "two hundred fifty-two million, one hundred thirty-three thousand, five hundred sixty-seven".