115517261 has 8 divisors (see below), whose sum is σ = 122588280. Its totient is φ = 108476928.

The previous prime is 115517257. The next prime is 115517267. The reversal of 115517261 is 162715511.

It can be written as a sum of positive squares in 4 ways, for example, as 37283236 + 78234025 = 6106^2 + 8845^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 115517261 - 2² = 115517257 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115517267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 335 + ... + 15203.

It is an arithmetic number, because the mean of its divisors is an integer number (15323535).

Almost surely, 2^115517261 is an apocalyptic number.

It is an amenable number.

115517261 is a deficient number, since it is larger than the sum of its proper divisors (7071019).

115517261 is a wasteful number, since it uses less digits than its factorization.

115517261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15343.

The product of its digits is 2100, while the sum is 29.

The square root of 115517261 is about 10747.8956544991. The cubic root of 115517261 is about 487.0224274183.

It can be divided in two parts, 1155 and 17261, that multiplied together give a triangular number (19936455 = T₆₃₁₄).

The spelling of 115517261 in words is "one hundred fifteen million, five hundred seventeen thousand, two hundred sixty-one".