113885325961 has 15 divisors (see below), whose sum is σ = 125318013655. Its totient is φ = 103494992920.

The previous prime is 113885325947. The next prime is 113885325973. The reversal of 113885325961 is 169523588311.

It is a happy number.

The square root of 113885325961 is 337469.

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., 71572835961 + 42312490000 = 267531^2 + 205700^2 .

It is not a de Polignac number, because 113885325961 - 2⁵ = 113885325929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 113885325899 and 113885325908.

It is not an unprimeable number, because it can be changed into a prime (113885325901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 40832355 + ... + 40835143.

Almost surely, 2^113885325961 is an apocalyptic number.

113885325961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113885325961 is the 337469-th square number.

113885325961 is the 168735-th centered octagonal number.

It is an amenable number.

113885325961 is a deficient number, since it is larger than the sum of its proper divisors (11432687694).

113885325961 is an frugal number, since it uses more digits than its factorization.

113885325961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5622 (or 2800 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 52.

The spelling of 113885325961 in words is "one hundred thirteen billion, eight hundred eighty-five million, three hundred twenty-five thousand, nine hundred sixty-one".