13628254590641 has 2 divisors, whose sum is σ = 13628254590642. Its totient is φ = 13628254590640.

The previous prime is 13628254590623. The next prime is 13628254590667. The reversal of 13628254590641 is 14609545282631.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11836214544400 + 1792040046241 = 3440380^2 + 1338671^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13628254590641 is a prime.

It is not a weakly prime, because it can be changed into another prime (13628254590611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6814127295320 + 6814127295321.

It is an arithmetic number, because the mean of its divisors is an integer number (6814127295321).

Almost surely, 2^{13628254590641} is an apocalyptic number.

It is an amenable number.

13628254590641 is a deficient number, since it is larger than the sum of its proper divisors (1).

13628254590641 is an equidigital number, since it uses as much as digits as its factorization.

13628254590641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12441600, while the sum is 56.

The spelling of 13628254590641 in words is "thirteen trillion, six hundred twenty-eight billion, two hundred fifty-four million, five hundred ninety thousand, six hundred forty-one".