251412521325 has 96 divisors (see below), whose sum is σ = 486585523200. Its totient is φ = 112168696320.

The previous prime is 251412521273. The next prime is 251412521377. The reversal of 251412521325 is 523125214152.

251412521325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (251412521273) and next prime (251412521377).

It is not a de Polignac number, because 251412521325 - 2¹⁷ = 251412390253 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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4276329 + ... + 4334721.

It is an arithmetic number, because the mean of its divisors is an integer number (5068599200).

Almost surely, 2^251412521325 is an apocalyptic number.

251412521325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

251412521325 is a deficient number, since it is larger than the sum of its proper divisors (235173001875).

251412521325 is a wasteful number, since it uses less digits than its factorization.

251412521325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58611 (or 58606 counting only the distinct ones).

The product of its digits is 24000, while the sum is 33.

Adding to 251412521325 its reverse (523125214152), we get a palindrome (774537735477).

The spelling of 251412521325 in words is "two hundred fifty-one billion, four hundred twelve million, five hundred twenty-one thousand, three hundred twenty-five".