22653561121 has 9 divisors (see below), whose sum is σ = 23225890099. Its totient is φ = 22095014800.

The previous prime is 22653561107. The next prime is 22653561137. The reversal of 22653561121 is 12116535622.

The square root of 22653561121 is 150511.

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

It can be written as a sum of positive squares in only one way, i.e., 1091575521 + 21561985600 = 33039^2 + 146840^2 .

It is not a de Polignac number, because 22653561121 - 2²³ = 22645172513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22653567121) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6169116 + ... + 6172786.

Almost surely, 2^22653561121 is an apocalyptic number.

22653561121 is the 150511-st square number.

22653561121 is the 75256-th centered octagonal number.

It is an amenable number.

22653561121 is a deficient number, since it is larger than the sum of its proper divisors (572328978).

22653561121 is an frugal number, since it uses more digits than its factorization.

22653561121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7424 (or 3712 counting only the distinct ones).

The product of its digits is 21600, while the sum is 34.

The spelling of 22653561121 in words is "twenty-two billion, six hundred fifty-three million, five hundred sixty-one thousand, one hundred twenty-one".