22564204133013 has 96 divisors (see below), whose sum is σ = 33630588650880. Its totient is φ = 14574410188800.

The previous prime is 22564204133011. The next prime is 22564204133027. The reversal of 22564204133013 is 31033140246522.

22564204133013 is a `hidden beast` number, since 2 + 2 + 5 + 642 + 0 + 4 + 1 + 3 + 3 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 22564204133013 - 2¹ = 22564204133011 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22564204133011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3845949706 + ... + 3845955572.

It is an arithmetic number, because the mean of its divisors is an integer number (350318631780).

Almost surely, 2^{22564204133013} is an apocalyptic number.

It is an amenable number.

22564204133013 is a deficient number, since it is larger than the sum of its proper divisors (11066384517867).

22564204133013 is a wasteful number, since it uses less digits than its factorization.

22564204133013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6547 (or 6544 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 22564204133013 its reverse (31033140246522), we get a palindrome (53597344379535).

The spelling of 22564204133013 in words is "twenty-two trillion, five hundred sixty-four billion, two hundred four million, one hundred thirty-three thousand, thirteen".