113531933025 has 81 divisors (see below), whose sum is σ = 236621767161. Its totient is φ = 51884138880.

The previous prime is 113531932993. The next prime is 113531933027. The reversal of 113531933025 is 520339135311.

The square root of 113531933025 is 336945.

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

113531933025 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 319 + 330 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 692373969 + 112839559056 = 26313^2 + 335916^2 .

It is not a de Polignac number, because 113531933025 - 2⁵ = 113531932993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113531933027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 35377621 + ... + 35380829.

Almost surely, 2^113531933025 is an apocalyptic number.

113531933025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

113531933025 is the 336945-th square number.

113531933025 is the 168473-rd centered octagonal number.

It is an amenable number.

113531933025 is an abundant number, since it is smaller than the sum of its proper divisors (123089834136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113531933025 is an frugal number, since it uses more digits than its factorization.

113531933025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6448 (or 3224 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 36.

Multiplying 113531933025 by its sum of digits (36), we get a square (4087149588900 = 2021670²).

The spelling of 113531933025 in words is "one hundred thirteen billion, five hundred thirty-one million, nine hundred thirty-three thousand, twenty-five".