257902171557113 has 2 divisors, whose sum is σ = 257902171557114. Its totient is φ = 257902171557112.

The previous prime is 257902171557091. The next prime is 257902171557137. The reversal of 257902171557113 is 311755171209752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 222321578844304 + 35580592712809 = 14910452^2 + 5964947^2 .

It is a cyclic number.

It is not a de Polignac number, because 257902171557113 - 2⁶ = 257902171557049 is a prime.

It is not a weakly prime, because it can be changed into another prime (257902171557143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128951085778556 + 128951085778557.

It is an arithmetic number, because the mean of its divisors is an integer number (128951085778557).

Almost surely, 2^{257902171557113} is an apocalyptic number.

It is an amenable number.

257902171557113 is a deficient number, since it is larger than the sum of its proper divisors (1).

257902171557113 is an equidigital number, since it uses as much as digits as its factorization.

257902171557113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4630500, while the sum is 56.

The spelling of 257902171557113 in words is "two hundred fifty-seven trillion, nine hundred two billion, one hundred seventy-one million, five hundred fifty-seven thousand, one hundred thirteen".