253105512725 has 96 divisors (see below), whose sum is σ = 366923182080. Its totient is φ = 171601079040.

The previous prime is 253105512713. The next prime is 253105512727. The reversal of 253105512725 is 527215501352.

253105512725 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 253105512725 - 2¹² = 253105508629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253105512727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29888942 + ... + 29897408.

It is an arithmetic number, because the mean of its divisors is an integer number (3822116480).

Almost surely, 2^253105512725 is an apocalyptic number.

253105512725 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

253105512725 is a deficient number, since it is larger than the sum of its proper divisors (113817669355).

253105512725 is a wasteful number, since it uses less digits than its factorization.

253105512725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8659 (or 8654 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 38.

The spelling of 253105512725 in words is "two hundred fifty-three billion, one hundred five million, five hundred twelve thousand, seven hundred twenty-five".