112563605025 has 27 divisors (see below), whose sum is σ = 201622937971. Its totient is φ = 60031238640.

The previous prime is 112563604999. The next prime is 112563605041. The reversal of 112563605025 is 520506365211.

The square root of 112563605025 is 335505.

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

112563605025 is a `hidden beast` number, since 1 + 1 + 25 + 6 + 3 + 605 + 0 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40522897809 + 72040707216 = 201303^2 + 268404^2 .

It is not a de Polignac number, because 112563605025 - 2⁹ = 112563604513 is a prime.

It is a Duffinian number.

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, 5021392 + ... + 5043758.

Almost surely, 2^112563605025 is an apocalyptic number.

112563605025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

112563605025 is the 335505-th square number.

112563605025 is the 167753-rd centered octagonal number.

It is an amenable number.

112563605025 is a deficient number, since it is larger than the sum of its proper divisors (89059332946).

112563605025 is an frugal number, since it uses more digits than its factorization.

112563605025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44750 (or 22375 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Multiplying 112563605025 by its sum of digits (36), we get a square (4052289780900 = 2013030²).

The spelling of 112563605025 in words is "one hundred twelve billion, five hundred sixty-three million, six hundred five thousand, twenty-five".