251275125025 has 12 divisors (see below), whose sum is σ = 314666120124. Its totient is φ = 199029800000.

The previous prime is 251275124993. The next prime is 251275125041. The reversal of 251275125025 is 520521572152.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 63186374161 + 188088750864 = 251369^2 + 433692^2 .

It is not a de Polignac number, because 251275125025 - 2⁵ = 251275124993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49754926 + ... + 49759975.

It is an arithmetic number, because the mean of its divisors is an integer number (26222176677).

Almost surely, 2^251275125025 is an apocalyptic number.

251275125025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

251275125025 is a deficient number, since it is larger than the sum of its proper divisors (63390995099).

251275125025 is a wasteful number, since it uses less digits than its factorization.

251275125025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99515012 (or 99515007 counting only the distinct ones).

The product of its (nonzero) digits is 70000, while the sum is 37.

Adding to 251275125025 its reverse (520521572152), we get a palindrome (771796697177).

The spelling of 251275125025 in words is "two hundred fifty-one billion, two hundred seventy-five million, one hundred twenty-five thousand, twenty-five".