113417400625 has 45 divisors (see below), whose sum is σ = 149789529351. Its totient is φ = 85837212000.

The previous prime is 113417400623. The next prime is 113417400631. The reversal of 113417400625 is 526004714311.

The square root of 113417400625 is 336775.

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

It can be written as a sum of positive squares in 7 ways, for example, as 112497855649 + 919544976 = 335407^2 + 30324^2 .

It is not a de Polignac number, because 113417400625 - 2¹ = 113417400623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113417400623) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 159967771 + ... + 159968479.

Almost surely, 2^113417400625 is an apocalyptic number.

113417400625 is the 336775-th square number.

113417400625 is the 168388-th centered octagonal number.

It is an amenable number.

113417400625 is a deficient number, since it is larger than the sum of its proper divisors (36372128726).

113417400625 is an frugal number, since it uses more digits than its factorization.

113417400625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 113417400625 in words is "one hundred thirteen billion, four hundred seventeen million, four hundred thousand, six hundred twenty-five".