13662400561 has 2 divisors, whose sum is σ = 13662400562. Its totient is φ = 13662400560.

The previous prime is 13662400529. The next prime is 13662400573. The reversal of 13662400561 is 16500426631.

13662400561 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., 7096377600 + 6566022961 = 84240^2 + 81031^2 .

It is a cyclic number.

It is not a de Polignac number, because 13662400561 - 2⁵ = 13662400529 is a prime.

It is a super-2 number, since 2×13662400561² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13662400501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6831200280 + 6831200281.

It is an arithmetic number, because the mean of its divisors is an integer number (6831200281).

Almost surely, 2^13662400561 is an apocalyptic number.

It is an amenable number.

13662400561 is a deficient number, since it is larger than the sum of its proper divisors (1).

13662400561 is an equidigital number, since it uses as much as digits as its factorization.

13662400561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 13662400561 in words is "thirteen billion, six hundred sixty-two million, four hundred thousand, five hundred sixty-one".