12581356035137 has 2 divisors, whose sum is σ = 12581356035138. Its totient is φ = 12581356035136.

The previous prime is 12581356035109. The next prime is 12581356035217. The reversal of 12581356035137 is 73153065318521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11934426981376 + 646929053761 = 3454624^2 + 804319^2 .

It is a cyclic number.

It is not a de Polignac number, because 12581356035137 - 2²⁰ = 12581354986561 is a prime.

It is not a weakly prime, because it can be changed into another prime (12581356031137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6290678017568 + 6290678017569.

It is an arithmetic number, because the mean of its divisors is an integer number (6290678017569).

Almost surely, 2^{12581356035137} is an apocalyptic number.

It is an amenable number.

12581356035137 is a deficient number, since it is larger than the sum of its proper divisors (1).

12581356035137 is an equidigital number, since it uses as much as digits as its factorization.

12581356035137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268000, while the sum is 50.

The spelling of 12581356035137 in words is "twelve trillion, five hundred eighty-one billion, three hundred fifty-six million, thirty-five thousand, one hundred thirty-seven".