115256961 has 12 divisors (see below), whose sum is σ = 170982292. Its totient is φ = 74761056.

The previous prime is 115256959. The next prime is 115256989. The reversal of 115256961 is 169652511.

115256961 is a `hidden beast` number, since 11 + 525 + 69 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98903025 + 16353936 = 9945^2 + 4044^2 .

It is not a de Polignac number, because 115256961 - 2¹ = 115256959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (115256761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172726 + ... + 173391.

Almost surely, 2^115256961 is an apocalyptic number.

It is an amenable number.

115256961 is a deficient number, since it is larger than the sum of its proper divisors (55725331).

115256961 is a wasteful number, since it uses less digits than its factorization.

115256961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346160 (or 346157 counting only the distinct ones).

The product of its digits is 16200, while the sum is 36.

The square root of 115256961 is about 10735.7794779885. The cubic root of 115256961 is about 486.6563427993.

The spelling of 115256961 in words is "one hundred fifteen million, two hundred fifty-six thousand, nine hundred sixty-one".