12587025185257 has 2 divisors, whose sum is σ = 12587025185258. Its totient is φ = 12587025185256.

The previous prime is 12587025185219. The next prime is 12587025185333. The reversal of 12587025185257 is 75258152078521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12030485313001 + 556539872256 = 3468499^2 + 746016^2 .

It is a cyclic number.

It is not a de Polignac number, because 12587025185257 - 2³¹ = 12584877701609 is a prime.

It is not a weakly prime, because it can be changed into another prime (12587025105257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6293512592628 + 6293512592629.

It is an arithmetic number, because the mean of its divisors is an integer number (6293512592629).

Almost surely, 2^{12587025185257} is an apocalyptic number.

It is an amenable number.

12587025185257 is a deficient number, since it is larger than the sum of its proper divisors (1).

12587025185257 is an equidigital number, since it uses as much as digits as its factorization.

12587025185257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15680000, while the sum is 58.

The spelling of 12587025185257 in words is "twelve trillion, five hundred eighty-seven billion, twenty-five million, one hundred eighty-five thousand, two hundred fifty-seven".