22563642304013 has 2 divisors, whose sum is σ = 22563642304014. Its totient is φ = 22563642304012.

The previous prime is 22563642303971. The next prime is 22563642304039. The reversal of 22563642304013 is 31040324636522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15683397891529 + 6880244412484 = 3960227^2 + 2623022^2 .

It is a cyclic number.

It is not a de Polignac number, because 22563642304013 - 2¹² = 22563642299917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22563642304213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11281821152006 + 11281821152007.

It is an arithmetic number, because the mean of its divisors is an integer number (11281821152007).

Almost surely, 2^{22563642304013} is an apocalyptic number.

It is an amenable number.

22563642304013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22563642304013 is an equidigital number, since it uses as much as digits as its factorization.

22563642304013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 622080, while the sum is 41.

The spelling of 22563642304013 in words is "twenty-two trillion, five hundred sixty-three billion, six hundred forty-two million, three hundred four thousand, thirteen".