113065261236225 has 81 divisors (see below), whose sum is σ = 205904464347387. Its totient is φ = 59307819984000.

The previous prime is 113065261236211. The next prime is 113065261236233. The reversal of 113065261236225 is 522632162560311.

The square root of 113065261236225 is 10633215.

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

113065261236225 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 6 + 5 + 2 + 6 + 12 + 3 + 622 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 89911187586801 + 23154073649424 = 9482151^2 + 4811868^2 .

It is not a de Polignac number, because 113065261236225 - 2¹³ = 113065261228033 is a prime.

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

It is a Curzon number.

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, 9729385915 + ... + 9729397535.

Almost surely, 2^{113065261236225} is an apocalyptic number.

113065261236225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

113065261236225 is the 10633215-th square number.

113065261236225 is the 5316608-th centered octagonal number.

It is an amenable number.

113065261236225 is a deficient number, since it is larger than the sum of its proper divisors (92839203111162).

113065261236225 is an frugal number, since it uses more digits than its factorization.

113065261236225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23380 (or 11690 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 113065261236225 in words is "one hundred thirteen trillion, sixty-five billion, two hundred sixty-one million, two hundred thirty-six thousand, two hundred twenty-five".