115775715677257 has 2 divisors, whose sum is σ = 115775715677258. Its totient is φ = 115775715677256.

The previous prime is 115775715677249. The next prime is 115775715677261. The reversal of 115775715677257 is 752776517577511.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114754249700281 + 1021465976976 = 10712341^2 + 1010676^2 .

It is a cyclic number.

It is not a de Polignac number, because 115775715677257 - 2³ = 115775715677249 is a prime.

It is a super-4 number, since 4×115775715677257⁴ (a number of 57 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 115775715677257.

It is not a weakly prime, because it can be changed into another prime (115775715677057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57887857838628 + 57887857838629.

It is an arithmetic number, because the mean of its divisors is an integer number (57887857838629).

Almost surely, 2^{115775715677257} is an apocalyptic number.

It is an amenable number.

115775715677257 is a deficient number, since it is larger than the sum of its proper divisors (1).

115775715677257 is an equidigital number, since it uses as much as digits as its factorization.

115775715677257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 882367500, while the sum is 73.

The spelling of 115775715677257 in words is "one hundred fifteen trillion, seven hundred seventy-five billion, seven hundred fifteen million, six hundred seventy-seven thousand, two hundred fifty-seven".