113155874375625 has 45 divisors (see below), whose sum is σ = 204245278713619. Its totient is φ = 60349374168000.

The previous prime is 113155874375591. The next prime is 113155874375657. The reversal of 113155874375625 is 526573478551311.

The square root of 113155874375625 is 10637475.

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

113155874375625 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 5 + 587 + 43 + 7 + 5 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 32012386886601 + 81143487489024 = 5657949^2 + 9007968^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 113155874375625 - 2³⁷ = 113018435422153 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 797739709 + ... + 797881541.

Almost surely, 2^{113155874375625} is an apocalyptic number.

113155874375625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

113155874375625 is the 10637475-th square number.

113155874375625 is the 5318738-th centered octagonal number.

It is an amenable number.

113155874375625 is a deficient number, since it is larger than the sum of its proper divisors (91089404337994).

113155874375625 is an frugal number, since it uses more digits than its factorization.

113155874375625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283692 (or 141841 counting only the distinct ones).

The product of its digits is 105840000, while the sum is 63.

The spelling of 113155874375625 in words is "one hundred thirteen trillion, one hundred fifty-five billion, eight hundred seventy-four million, three hundred seventy-five thousand, six hundred twenty-five".