252841900311 has 144 divisors (see below), whose sum is σ = 493994592000. Its totient is φ = 121011770880.

The previous prime is 252841900243. The next prime is 252841900327. The reversal of 252841900311 is 113009148252.

252841900311 is a `hidden beast` number, since 2 + 528 + 41 + 90 + 0 + 3 + 1 + 1 = 666.

It is not a de Polignac number, because 252841900311 - 2⁷ = 252841900183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252841900511) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72259440 + ... + 72262938.

It is an arithmetic number, because the mean of its divisors is an integer number (3430518000).

Almost surely, 2^252841900311 is an apocalyptic number.

252841900311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

252841900311 is a deficient number, since it is larger than the sum of its proper divisors (241152691689).

252841900311 is a wasteful number, since it uses less digits than its factorization.

252841900311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4166 (or 4150 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 252841900311 in words is "two hundred fifty-two billion, eight hundred forty-one million, nine hundred thousand, three hundred eleven".