1251137625125 has 16 divisors (see below), whose sum is σ = 1578963812400. Its totient is φ = 989663910400.

The previous prime is 1251137625097. The next prime is 1251137625209. The reversal of 1251137625125 is 5215267311521.

It can be written as a sum of positive squares in 8 ways, for example, as 1005659986276 + 245477638849 = 1002826^2 + 495457^2 .

It is not a de Polignac number, because 1251137625125 - 2²⁶ = 1251070516261 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 15 ways as a sum of consecutive naturals, for example, 56219780 + ... + 56242029.

It is an arithmetic number, because the mean of its divisors is an integer number (98685238275).

Almost surely, 2^{1251137625125} is an apocalyptic number.

It is an amenable number.

1251137625125 is a deficient number, since it is larger than the sum of its proper divisors (327826187275).

1251137625125 is an equidigital number, since it uses as much as digits as its factorization.

1251137625125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112461913 (or 112461903 counting only the distinct ones).

The product of its digits is 126000, while the sum is 41.

The spelling of 1251137625125 in words is "one trillion, two hundred fifty-one billion, one hundred thirty-seven million, six hundred twenty-five thousand, one hundred twenty-five".