22133004561 has 12 divisors (see below), whose sum is σ = 32252816388. Its totient is φ = 14624757504.

The previous prime is 22133004557. The next prime is 22133004571. The reversal of 22133004561 is 16540033122.

It can be written as a sum of positive squares in 2 ways, for example, as 193766400 + 21939238161 = 13920^2 + 148119^2 .

It is not a de Polignac number, because 22133004561 - 2² = 22133004557 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22133004511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10880500 + ... + 10882533.

It is an arithmetic number, because the mean of its divisors is an integer number (2687734699).

Almost surely, 2^22133004561 is an apocalyptic number.

It is an amenable number.

22133004561 is a deficient number, since it is larger than the sum of its proper divisors (10119811827).

22133004561 is a wasteful number, since it uses less digits than its factorization.

22133004561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21763152 (or 21763149 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 22133004561 its reverse (16540033122), we get a palindrome (38673037683).

The spelling of 22133004561 in words is "twenty-two billion, one hundred thirty-three million, four thousand, five hundred sixty-one".