113909625025 has 27 divisors (see below), whose sum is σ = 164325863331. Its totient is φ = 78101357040.

The previous prime is 113909624963. The next prime is 113909625061. The reversal of 113909625025 is 520526909311.

The square root of 113909625025 is 337505.

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., 41007465009 + 72902160016 = 202503^2 + 270004^2 .

It is not a de Polignac number, because 113909625025 - 2⁷ = 113909624897 is a prime.

It is a super-2 number, since 2×113909625025² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11807854 + ... + 11817496.

Almost surely, 2^113909625025 is an apocalyptic number.

113909625025 is the 337505-th square number.

113909625025 is the 168753-rd centered octagonal number.

It is an amenable number.

113909625025 is a deficient number, since it is larger than the sum of its proper divisors (50416238306).

113909625025 is an frugal number, since it uses more digits than its factorization.

113909625025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19310 (or 9655 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 43.

The spelling of 113909625025 in words is "one hundred thirteen billion, nine hundred nine million, six hundred twenty-five thousand, twenty-five".