253167598900 has 72 divisors (see below), whose sum is σ = 589658431320. Its totient is φ = 94004490240.

The previous prime is 253167598843. The next prime is 253167598913. The reversal of 253167598900 is 9895761352.

It can be written as a sum of positive squares in 12 ways, for example, as 95874452496 + 157293146404 = 309636^2 + 396602^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 895915 + ... + 1144114.

It is an arithmetic number, because the mean of its divisors is an integer number (8189700435).

Almost surely, 2^253167598900 is an apocalyptic number.

253167598900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253167598900 is an abundant number, since it is smaller than the sum of its proper divisors (336490832420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

253167598900 is a wasteful number, since it uses less digits than its factorization.

253167598900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040133 (or 2040126 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 55.

The spelling of 253167598900 in words is "two hundred fifty-three billion, one hundred sixty-seven million, five hundred ninety-eight thousand, nine hundred".