13563630635741 has 2 divisors, whose sum is σ = 13563630635742. Its totient is φ = 13563630635740.

The previous prime is 13563630635729. The next prime is 13563630635747. The reversal of 13563630635741 is 14753603636531.

13563630635741 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13436000215225 + 127630420516 = 3665515^2 + 357254^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13563630635741 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13563630635747) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6781815317870 + 6781815317871.

It is an arithmetic number, because the mean of its divisors is an integer number (6781815317871).

Almost surely, 2^{13563630635741} is an apocalyptic number.

It is an amenable number.

13563630635741 is a deficient number, since it is larger than the sum of its proper divisors (1).

13563630635741 is an equidigital number, since it uses as much as digits as its factorization.

13563630635741 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12247200, while the sum is 53.

The spelling of 13563630635741 in words is "thirteen trillion, five hundred sixty-three billion, six hundred thirty million, six hundred thirty-five thousand, seven hundred forty-one".