252845901 has 128 divisors (see below), whose sum is σ = 507801600. Its totient is φ = 120372480.

The previous prime is 252845897. The next prime is 252845903. The reversal of 252845901 is 109548252.

252845901 is a `hidden beast` number, since 2 + 528 + 45 + 90 + 1 = 666.

It is not a de Polignac number, because 252845901 - 2² = 252845897 is a prime.

It is a super-3 number, since 3×252845901³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252845903) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1461451 + ... + 1461623.

It is an arithmetic number, because the mean of its divisors is an integer number (3967200).

Almost surely, 2^252845901 is an apocalyptic number.

252845901 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

252845901 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

252845901 is a wasteful number, since it uses less digits than its factorization.

252845901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 252845901 is about 15901.1289221866. The cubic root of 252845901 is about 632.3419184476.

The spelling of 252845901 in words is "two hundred fifty-two million, eight hundred forty-five thousand, nine hundred one".