115752257511 has 16 divisors (see below), whose sum is σ = 168385876608. Its totient is φ = 70144984800.

The previous prime is 115752257479. The next prime is 115752257557.

115752257511 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 115752257511 - 2⁵ = 115752257479 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115752257591) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107085 + ... + 492921.

It is an arithmetic number, because the mean of its divisors is an integer number (10524117288).

Almost surely, 2^115752257511 is an apocalyptic number.

115752257511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

115752257511 is a deficient number, since it is larger than the sum of its proper divisors (52633619097).

115752257511 is a wasteful number, since it uses less digits than its factorization.

115752257511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394942.

The product of its digits is 122500, while the sum is 42.

The spelling of 115752257511 in words is "one hundred fifteen billion, seven hundred fifty-two million, two hundred fifty-seven thousand, five hundred eleven".