253731643125 has 40 divisors (see below), whose sum is σ = 423903807360. Its totient is φ = 134954448000.

The previous prime is 253731643111. The next prime is 253731643163. The reversal of 253731643125 is 521346137352.

It is a happy number.

It is not a de Polignac number, because 253731643125 - 2¹⁴ = 253731626741 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 503761 + ... + 872489.

It is an arithmetic number, because the mean of its divisors is an integer number (10597595184).

Almost surely, 2^253731643125 is an apocalyptic number.

253731643125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

253731643125 is a deficient number, since it is larger than the sum of its proper divisors (170172164235).

253731643125 is an equidigital number, since it uses as much as digits as its factorization.

253731643125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369119 (or 369104 counting only the distinct ones).

The product of its digits is 453600, while the sum is 42.

The spelling of 253731643125 in words is "two hundred fifty-three billion, seven hundred thirty-one million, six hundred forty-three thousand, one hundred twenty-five".