253014105313125 has 160 divisors (see below), whose sum is σ = 511335031912320. Its totient is φ = 122854470336000.

The previous prime is 253014105313121. The next prime is 253014105313133. The reversal of 253014105313125 is 521313501410352.

It is a happy number.

253014105313125 is a `hidden beast` number, since 2 + 5 + 30 + 1 + 41 + 0 + 531 + 31 + 25 = 666.

It is not a de Polignac number, because 253014105313125 - 2² = 253014105313121 is a prime.

It is a super-2 number, since 2×253014105313125² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 253014105313125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253014105313121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8114782 + ... + 23913968.

It is an arithmetic number, because the mean of its divisors is an integer number (3195843949452).

Almost surely, 2^{253014105313125} is an apocalyptic number.

253014105313125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

253014105313125 is an abundant number, since it is smaller than the sum of its proper divisors (258320926599195).

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

253014105313125 is a wasteful number, since it uses less digits than its factorization.

253014105313125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15799302 (or 15799281 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 253014105313125 its reverse (521313501410352), we get a palindrome (774327606723477).

The spelling of 253014105313125 in words is "two hundred fifty-three trillion, fourteen billion, one hundred five million, three hundred thirteen thousand, one hundred twenty-five".