115040511 has 24 divisors (see below), whose sum is σ = 172860480. Its totient is φ = 73659456.

The previous prime is 115040491. The next prime is 115040543.

It is a happy number.

115040511 is a `hidden beast` number, since 1 + 150 + 4 + 0 + 511 = 666.

115040511 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 115040511 - 2⁹ = 115039999 is a prime.

It is a super-2 number, since 2×115040511² = 26468638342282242, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115040551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24121 + ... + 28493.

It is an arithmetic number, because the mean of its divisors is an integer number (7202520).

Almost surely, 2^115040511 is an apocalyptic number.

115040511 is a deficient number, since it is larger than the sum of its proper divisors (57819969).

115040511 is a wasteful number, since it uses less digits than its factorization.

115040511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4495 (or 4492 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 115040511 is about 10725.6939635625. The cubic root of 115040511 is about 486.3515086461.

The spelling of 115040511 in words is "one hundred fifteen million, forty thousand, five hundred eleven".