22561305633 has 6 divisors (see below), whose sum is σ = 32588552594. Its totient is φ = 15040870416.

The previous prime is 22561305623. The next prime is 22561305719. The reversal of 22561305633 is 33650316522.

22561305633 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 13 + 0 + 5 + 633 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19856473569 + 2704832064 = 140913^2 + 52008^2 .

It is not a de Polignac number, because 22561305633 - 2¹⁴ = 22561289249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22561305623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1253405860 + ... + 1253405877.

Almost surely, 2^22561305633 is an apocalyptic number.

It is an amenable number.

22561305633 is a deficient number, since it is larger than the sum of its proper divisors (10027246961).

22561305633 is a wasteful number, since it uses less digits than its factorization.

22561305633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506811743 (or 2506811740 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 22561305633 in words is "twenty-two billion, five hundred sixty-one million, three hundred five thousand, six hundred thirty-three".