13768578396553 has 2 divisors, whose sum is σ = 13768578396554. Its totient is φ = 13768578396552.

The previous prime is 13768578396509. The next prime is 13768578396589. The reversal of 13768578396553 is 35569387586731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11677002968569 + 2091575427984 = 3417163^2 + 1446228^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13768578396553 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13768578396553.

It is not a weakly prime, because it can be changed into another prime (13768578396593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6884289198276 + 6884289198277.

It is an arithmetic number, because the mean of its divisors is an integer number (6884289198277).

Almost surely, 2^{13768578396553} is an apocalyptic number.

It is an amenable number.

13768578396553 is a deficient number, since it is larger than the sum of its proper divisors (1).

13768578396553 is an equidigital number, since it uses as much as digits as its factorization.

13768578396553 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3429216000, while the sum is 76.

The spelling of 13768578396553 in words is "thirteen trillion, seven hundred sixty-eight billion, five hundred seventy-eight million, three hundred ninety-six thousand, five hundred fifty-three".