257607655111909 has 2 divisors, whose sum is σ = 257607655111910. Its totient is φ = 257607655111908.

The previous prime is 257607655111853. The next prime is 257607655111913. The reversal of 257607655111909 is 909111556706752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 156931917399009 + 100675737712900 = 12527247^2 + 10033730^2 .

It is a cyclic number.

It is not a de Polignac number, because 257607655111909 - 2²⁷ = 257607520894181 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257607655111409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128803827555954 + 128803827555955.

It is an arithmetic number, because the mean of its divisors is an integer number (128803827555955).

Almost surely, 2^{257607655111909} is an apocalyptic number.

It is an amenable number.

257607655111909 is a deficient number, since it is larger than the sum of its proper divisors (1).

257607655111909 is an equidigital number, since it uses as much as digits as its factorization.

257607655111909 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 35721000, while the sum is 64.

The spelling of 257607655111909 in words is "two hundred fifty-seven trillion, six hundred seven billion, six hundred fifty-five million, one hundred eleven thousand, nine hundred nine".