251350005125 has 16 divisors (see below), whose sum is σ = 313928362800. Its totient is φ = 200923878400.

The previous prime is 251350005121. The next prime is 251350005133. The reversal of 251350005125 is 521500053152.

It can be written as a sum of positive squares in 8 ways, for example, as 42660010849 + 208689994276 = 206543^2 + 456826^2 .

It is not a de Polignac number, because 251350005125 - 2² = 251350005121 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251350005121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 618860 + ... + 941109.

It is an arithmetic number, because the mean of its divisors is an integer number (19620522675).

Almost surely, 2^251350005125 is an apocalyptic number.

251350005125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

251350005125 is a deficient number, since it is larger than the sum of its proper divisors (62578357675).

251350005125 is a wasteful number, since it uses less digits than its factorization.

251350005125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561273 (or 1561263 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 29.

Adding to 251350005125 its reverse (521500053152), we get a palindrome (772850058277).

The spelling of 251350005125 in words is "two hundred fifty-one billion, three hundred fifty million, five thousand, one hundred twenty-five".