251172865225 has 24 divisors (see below), whose sum is σ = 333480586680. Its totient is φ = 186993438720.

The previous prime is 251172865199. The next prime is 251172865267. The reversal of 251172865225 is 522568271152.

251172865225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 61959175056 + 189213690169 = 248916^2 + 434987^2 .

It is not a de Polignac number, because 251172865225 - 2⁵ = 251172865193 is a prime.

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 23 ways as a sum of consecutive naturals, for example, 3282372 + ... + 3358021.

It is an arithmetic number, because the mean of its divisors is an integer number (13895024445).

Almost surely, 2^251172865225 is an apocalyptic number.

251172865225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

251172865225 is a deficient number, since it is larger than the sum of its proper divisors (82307721455).

251172865225 is a wasteful number, since it uses less digits than its factorization.

251172865225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6640509 (or 6640504 counting only the distinct ones).

The product of its digits is 672000, while the sum is 46.

The spelling of 251172865225 in words is "two hundred fifty-one billion, one hundred seventy-two million, eight hundred sixty-five thousand, two hundred twenty-five".