12575625638257 has 16 divisors (see below), whose sum is σ = 13737137726592. Its totient is φ = 11417161345920.

The previous prime is 12575625638249. The next prime is 12575625638293. The reversal of 12575625638257 is 75283652657521.

It is a happy number.

It is not a de Polignac number, because 12575625638257 - 2³ = 12575625638249 is a prime.

It is a super-3 number, since 3×12575625638257³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12575625638957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131308093 + ... + 131403829.

It is an arithmetic number, because the mean of its divisors is an integer number (858571107912).

Almost surely, 2^{12575625638257} is an apocalyptic number.

It is an amenable number.

12575625638257 is a deficient number, since it is larger than the sum of its proper divisors (1161512088335).

12575625638257 is a wasteful number, since it uses less digits than its factorization.

12575625638257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111528.

The product of its digits is 211680000, while the sum is 64.

The spelling of 12575625638257 in words is "twelve trillion, five hundred seventy-five billion, six hundred twenty-five million, six hundred thirty-eight thousand, two hundred fifty-seven".