115583385511 has 12 divisors (see below), whose sum is σ = 127406151936. Its totient is φ = 104778101120.

The previous prime is 115583385481. The next prime is 115583385551.

115583385511 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 115583385511 - 2⁵ = 115583385479 is a prime.

It is a super-2 number, since 2×115583385511² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115583385551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1310311 + ... + 1395736.

It is an arithmetic number, because the mean of its divisors is an integer number (10617179328).

Almost surely, 2^115583385511 is an apocalyptic number.

115583385511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

115583385511 is a deficient number, since it is larger than the sum of its proper divisors (11822766425).

115583385511 is a wasteful number, since it uses less digits than its factorization.

115583385511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2706422 (or 2706411 counting only the distinct ones).

The product of its digits is 360000, while the sum is 46.

The spelling of 115583385511 in words is "one hundred fifteen billion, five hundred eighty-three million, three hundred eighty-five thousand, five hundred eleven".