125638812625 has 32 divisors (see below), whose sum is σ = 160106922144. Its totient is φ = 98409600000.

The previous prime is 125638812623. The next prime is 125638812631. The reversal of 125638812625 is 526218836521.

It can be written as a sum of positive squares in 16 ways, for example, as 100665963841 + 24972848784 = 317279^2 + 158028^2 .

It is not a de Polignac number, because 125638812625 - 2¹ = 125638812623 is a prime.

It is a super-2 number, since 2×125638812625² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125638812623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1199875 + ... + 1300375.

It is an arithmetic number, because the mean of its divisors is an integer number (5003341317).

Almost surely, 2^125638812625 is an apocalyptic number.

It is an amenable number.

125638812625 is a deficient number, since it is larger than the sum of its proper divisors (34468109519).

125638812625 is a wasteful number, since it uses less digits than its factorization.

125638812625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100726 (or 100716 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 49.

The spelling of 125638812625 in words is "one hundred twenty-five billion, six hundred thirty-eight million, eight hundred twelve thousand, six hundred twenty-five".