13563013 has 2 divisors, whose sum is σ = 13563014. Its totient is φ = 13563012.

The previous prime is 13563007. The next prime is 13563019. The reversal of 13563013 is 31036531.

It is a balanced prime because it is at equal distance from previous prime (13563007) and next prime (13563019).

It can be written as a sum of positive squares in only one way, i.e., 7496644 + 6066369 = 2738^2 + 2463^2 .

It is an emirp because it is prime and its reverse (31036531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13563013 - 2¹⁷ = 13431941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13563019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6781506 + 6781507.

It is an arithmetic number, because the mean of its divisors is an integer number (6781507).

Almost surely, 2^13563013 is an apocalyptic number.

It is an amenable number.

13563013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13563013 is an equidigital number, since it uses as much as digits as its factorization.

13563013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 810, while the sum is 22.

The square root of 13563013 is about 3682.7996144238. The cubic root of 13563013 is about 238.4800528889.

Adding to 13563013 its reverse (31036531), we get a palindrome (44599544).

The spelling of 13563013 in words is "thirteen million, five hundred sixty-three thousand, thirteen".