113495677299225 has 135 divisors (see below), whose sum is σ = 227661499069389. Its totient is φ = 55871726788800.

The previous prime is 113495677299217. The next prime is 113495677299269. The reversal of 113495677299225 is 522992776594311.

The square root of 113495677299225 is 10653435.

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

113495677299225 is a `hidden beast` number, since 1 + 1 + 3 + 49 + 5 + 6 + 77 + 299 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29253678716889 + 84241998582336 = 5408667^2 + 9178344^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 113495677299225 - 2³ = 113495677299217 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 6232250370 + ... + 6232268580.

Almost surely, 2^{113495677299225} is an apocalyptic number.

113495677299225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

113495677299225 is the 10653435-th square number.

113495677299225 is the 5326718-th centered octagonal number.

It is an amenable number.

113495677299225 is an abundant number, since it is smaller than the sum of its proper divisors (114165821770164).

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

113495677299225 is an frugal number, since it uses more digits than its factorization.

113495677299225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36470 (or 18232 counting only the distinct ones).

The product of its digits is 514382400, while the sum is 72.

The spelling of 113495677299225 in words is "one hundred thirteen trillion, four hundred ninety-five billion, six hundred seventy-seven million, two hundred ninety-nine thousand, two hundred twenty-five".