13555040501993 has 2 divisors, whose sum is σ = 13555040501994. Its totient is φ = 13555040501992.

The previous prime is 13555040501971. The next prime is 13555040502011. The reversal of 13555040501993 is 39910504055531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12764349634729 + 790690867264 = 3572723^2 + 889208^2 .

It is an emirp because it is prime and its reverse (39910504055531) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13555040501993 is a prime.

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 (13555040501953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6777520250996 + 6777520250997.

It is an arithmetic number, because the mean of its divisors is an integer number (6777520250997).

Almost surely, 2^{13555040501993} is an apocalyptic number.

It is an amenable number.

13555040501993 is a deficient number, since it is larger than the sum of its proper divisors (1).

13555040501993 is an equidigital number, since it uses as much as digits as its factorization.

13555040501993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1822500, while the sum is 50.

The spelling of 13555040501993 in words is "thirteen trillion, five hundred fifty-five billion, forty million, five hundred one thousand, nine hundred ninety-three".