113329856025 has 45 divisors (see below), whose sum is σ = 209954134093. Its totient is φ = 60434510400.

The previous prime is 113329855999. The next prime is 113329856053. The reversal of 113329856025 is 520658923311.

The square root of 113329856025 is 336645.

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

113329856025 is a `hidden beast` number, since 1 + 1 + 3 + 32 + 9 + 8 + 5 + 602 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8143799049 + 105186056976 = 90243^2 + 324324^2 .

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

It is not a de Polignac number, because 113329856025 - 2¹¹ = 113329853977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 15145285 + ... + 15152765.

Almost surely, 2^113329856025 is an apocalyptic number.

113329856025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

113329856025 is the 336645-th square number.

113329856025 is the 168323-rd centered octagonal number.

It is an amenable number.

113329856025 is a deficient number, since it is larger than the sum of its proper divisors (96624278068).

113329856025 is an frugal number, since it uses more digits than its factorization.

113329856025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14984 (or 7489 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 113329856025 in words is "one hundred thirteen billion, three hundred twenty-nine million, eight hundred fifty-six thousand, twenty-five".