115340511 has 64 divisors (see below), whose sum is σ = 190955520. Its totient is φ = 60963840.

The previous prime is 115340501. The next prime is 115340527. The reversal of 115340511 is 115043511.

It is a happy number.

It is not a de Polignac number, because 115340511 - 2⁵ = 115340479 is a prime.

It is a super-2 number, since 2×115340511² = 26606866955482242, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115340501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 908130 + ... + 908256.

It is an arithmetic number, because the mean of its divisors is an integer number (2983680).

Almost surely, 2^115340511 is an apocalyptic number.

115340511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

115340511 is a deficient number, since it is larger than the sum of its proper divisors (75615009).

115340511 is a wasteful number, since it uses less digits than its factorization.

115340511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256.

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 115340511 is about 10739.6699669962. The cubic root of 115340511 is about 486.7739071129.

The spelling of 115340511 in words is "one hundred fifteen million, three hundred forty thousand, five hundred eleven".