115085601 has 12 divisors (see below), whose sum is σ = 171967380. Its totient is φ = 74077920.

The previous prime is 115085573. The next prime is 115085611. The reversal of 115085601 is 106580511.

115085601 is a `hidden beast` number, since 1 + 1 + 50 + 8 + 5 + 601 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 83174400 + 31911201 = 9120^2 + 5649^2 .

It is not a de Polignac number, because 115085601 - 2⁵ = 115085569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (115085611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220210 + ... + 220731.

It is an arithmetic number, because the mean of its divisors is an integer number (14330615).

Almost surely, 2^115085601 is an apocalyptic number.

It is an amenable number.

115085601 is a deficient number, since it is larger than the sum of its proper divisors (56881779).

115085601 is a wasteful number, since it uses less digits than its factorization.

115085601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440976 (or 440973 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 115085601 is about 10727.7957195316. The cubic root of 115085601 is about 486.4150419900.

The spelling of 115085601 in words is "one hundred fifteen million, eighty-five thousand, six hundred one".