113997393225 has 189 divisors, whose sum is σ = 220853087247. Its totient is φ = 58343328000.

The previous prime is 113997393217. The next prime is 113997393259. The reversal of 113997393225 is 522393799311.

The square root of 113997393225 is 337635.

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

It can be written as a sum of positive squares in 13 ways, for example, as 85393112841 + 28604280384 = 292221^2 + 169128^2 .

It is not a de Polignac number, because 113997393225 - 2³ = 113997393217 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 1868809695 + ... + 1868809755.

Almost surely, 2^113997393225 is an apocalyptic number.

113997393225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

113997393225 is the 337635-th square number.

113997393225 is the 168818-th centered octagonal number.

It is an amenable number.

113997393225 is a deficient number, since it is larger than the sum of its proper divisors (106855694022).

113997393225 is an frugal number, since it uses more digits than its factorization.

113997393225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 110 counting only the distinct ones).

The product of its digits is 2755620, while the sum is 54.

The spelling of 113997393225 in words is "one hundred thirteen billion, nine hundred ninety-seven million, three hundred ninety-three thousand, two hundred twenty-five".