113622252241 has 27 divisors (see below), whose sum is σ = 121763249361. Its totient is φ = 106009997184.

The previous prime is 113622252223. The next prime is 113622252277. The reversal of 113622252241 is 142252226311.

It is a happy number.

The square root of 113622252241 is 337079.

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

It can be written as a sum of positive squares in 4 ways, for example, as 65880002241 + 47742250000 = 256671^2 + 218500^2 .

It is not a de Polignac number, because 113622252241 - 2¹⁹ = 113621727953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113622252221) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 723708535 + ... + 723708691.

Almost surely, 2^113622252241 is an apocalyptic number.

113622252241 is the 337079-th square number.

113622252241 is the 168540-th centered octagonal number.

It is an amenable number.

113622252241 is a deficient number, since it is larger than the sum of its proper divisors (8140997120).

113622252241 is an frugal number, since it uses more digits than its factorization.

113622252241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 289 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

Adding to 113622252241 its reverse (142252226311), we get a palindrome (255874478552).

The spelling of 113622252241 in words is "one hundred thirteen billion, six hundred twenty-two million, two hundred fifty-two thousand, two hundred forty-one".