115035610561 has 9 divisors (see below), whose sum is σ = 121415576193. Its totient is φ = 108974999700.

The previous prime is 115035610531. The next prime is 115035610577. The reversal of 115035610561 is 165016530511.

The square root of 115035610561 is 339169.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 115035610561 - 2¹⁵ = 115035577793 is a prime.

It is a super-3 number, since 3×115035610561³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (115035610531) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6435286 + ... + 6453136.

It is an arithmetic number, because the mean of its divisors is an integer number (13490619577).

Almost surely, 2^115035610561 is an apocalyptic number.

115035610561 is the 339169-th square number.

115035610561 is the 169585-th centered octagonal number.

It is an amenable number.

115035610561 is a deficient number, since it is larger than the sum of its proper divisors (6379965632).

115035610561 is an frugal number, since it uses more digits than its factorization.

115035610561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35740 (or 17870 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 34.

The spelling of 115035610561 in words is "one hundred fifteen billion, thirty-five million, six hundred ten thousand, five hundred sixty-one".