115761257 has 2 divisors, whose sum is σ = 115761258. Its totient is φ = 115761256.

The previous prime is 115761253. The next prime is 115761259. The reversal of 115761257 is 752167511.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109390681 + 6370576 = 10459^2 + 2524^2 .

It is a cyclic number.

It is not a de Polignac number, because 115761257 - 2² = 115761253 is a prime.

Together with 115761259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (115761253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57880628 + 57880629.

It is an arithmetic number, because the mean of its divisors is an integer number (57880629).

Almost surely, 2^115761257 is an apocalyptic number.

It is an amenable number.

115761257 is a deficient number, since it is larger than the sum of its proper divisors (1).

115761257 is an equidigital number, since it uses as much as digits as its factorization.

115761257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14700, while the sum is 35.

The square root of 115761257 is about 10759.2405401125. The cubic root of 115761257 is about 487.3650831558.

The spelling of 115761257 in words is "one hundred fifteen million, seven hundred sixty-one thousand, two hundred fifty-seven".