113006907225 has 81 divisors (see below), whose sum is σ = 205889262813. Its totient is φ = 59251098240.

The previous prime is 113006907199. The next prime is 113006907313. The reversal of 113006907225 is 522709600311.

The square root of 113006907225 is 336165.

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

It can be written as a sum of positive squares in 4 ways, for example, as 618367689 + 112388539536 = 24867^2 + 335244^2 .

It is not a de Polignac number, because 113006907225 - 2⁹ = 113006906713 is a prime.

It is a super-2 number, since 2×113006907225² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 113006907225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 368100522 + ... + 368100828.

Almost surely, 2^113006907225 is an apocalyptic number.

113006907225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

113006907225 is the 336165-th square number.

113006907225 is the 168083-rd centered octagonal number.

It is an amenable number.

113006907225 is a deficient number, since it is larger than the sum of its proper divisors (92882355588).

113006907225 is an frugal number, since it uses more digits than its factorization.

113006907225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

Multiplying 113006907225 by its sum of digits (36), we get a square (4068248660100 = 2016990²).

The spelling of 113006907225 in words is "one hundred thirteen billion, six million, nine hundred seven thousand, two hundred twenty-five".