115079921355961 has 9 divisors (see below), whose sum is σ = 115190854239279. Its totient is φ = 114969095233200.

The previous prime is 115079921355907. The next prime is 115079921355967. The reversal of 115079921355961 is 169553129970511.

The square root of 115079921355961 is 10727531.

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

It can be written as a sum of positive squares in only one way, i.e., 38358438909561 + 76721482446400 = 6193419^2 + 8759080^2 .

It is not a de Polignac number, because 115079921355961 - 2⁹ = 115079921355449 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 115079921355893 and 115079921355902.

It is not an unprimeable number, because it can be changed into a prime (115079921355967) 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, 12561934221 + ... + 12561943381.

Almost surely, 2^{115079921355961} is an apocalyptic number.

115079921355961 is the 10727531-st square number.

115079921355961 is the 5363766-th centered octagonal number.

It is an amenable number.

115079921355961 is a deficient number, since it is larger than the sum of its proper divisors (110932883318).

115079921355961 is an frugal number, since it uses more digits than its factorization.

115079921355961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20664 (or 10332 counting only the distinct ones).

The product of its (nonzero) digits is 22963500, while the sum is 64.

The spelling of 115079921355961 in words is "one hundred fifteen trillion, seventy-nine billion, nine hundred twenty-one million, three hundred fifty-five thousand, nine hundred sixty-one".