13563541 has 2 divisors, whose sum is σ = 13563542. Its totient is φ = 13563540.

The previous prime is 13563527. The next prime is 13563551. The reversal of 13563541 is 14536531.

13563541 is digitally balanced in base 3, 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., 13032100 + 531441 = 3610^2 + 729^2 .

It is a cyclic number.

It is not a de Polignac number, because 13563541 - 2⁵ = 13563509 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13563551) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6781770 + 6781771.

It is an arithmetic number, because the mean of its divisors is an integer number (6781771).

Almost surely, 2^13563541 is an apocalyptic number.

It is an amenable number.

13563541 is a deficient number, since it is larger than the sum of its proper divisors (1).

13563541 is an equidigital number, since it uses as much as digits as its factorization.

13563541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5400, while the sum is 28.

The square root of 13563541 is about 3682.8712983215. The cubic root of 13563541 is about 238.4831474774.

The spelling of 13563541 in words is "thirteen million, five hundred sixty-three thousand, five hundred forty-one".