13542013601 has 2 divisors, whose sum is σ = 13542013602. Its totient is φ = 13542013600.

The previous prime is 13542013543. The next prime is 13542013633. The reversal of 13542013601 is 10631024531.

13542013601 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., 11141013601 + 2401000000 = 105551^2 + 49000^2 .

It is an emirp because it is prime and its reverse (10631024531) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13542013601 is a prime.

It is a super-2 number, since 2×13542013601² (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13542013691) 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, 6771006800 + 6771006801.

It is an arithmetic number, because the mean of its divisors is an integer number (6771006801).

Almost surely, 2^13542013601 is an apocalyptic number.

It is an amenable number.

13542013601 is a deficient number, since it is larger than the sum of its proper divisors (1).

13542013601 is an equidigital number, since it uses as much as digits as its factorization.

13542013601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 26.

The spelling of 13542013601 in words is "thirteen billion, five hundred forty-two million, thirteen thousand, six hundred one".