252961873 has 8 divisors (see below), whose sum is σ = 256605480. Its totient is φ = 249340800.

The previous prime is 252961861. The next prime is 252961903. The reversal of 252961873 is 378169252.

252961873 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 225210049 + 27751824 = 15007^2 + 5268^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 252961873 - 2⁹ = 252961361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252961823) 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, 17661 + ... + 28597.

It is an arithmetic number, because the mean of its divisors is an integer number (32075685).

Almost surely, 2^252961873 is an apocalyptic number.

It is an amenable number.

252961873 is a deficient number, since it is larger than the sum of its proper divisors (3643607).

252961873 is a wasteful number, since it uses less digits than its factorization.

252961873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11267.

The product of its digits is 181440, while the sum is 43.

The square root of 252961873 is about 15904.7751634533. The cubic root of 252961873 is about 632.4385817348.

The spelling of 252961873 in words is "two hundred fifty-two million, nine hundred sixty-one thousand, eight hundred seventy-three".