13773658262401 has 2 divisors, whose sum is σ = 13773658262402. Its totient is φ = 13773658262400.

The previous prime is 13773658262347. The next prime is 13773658262411. The reversal of 13773658262401 is 10426285637731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13026678344001 + 746979918400 = 3609249^2 + 864280^2 .

It is a cyclic number.

It is not a de Polignac number, because 13773658262401 - 2¹¹ = 13773658260353 is a prime.

It is not a weakly prime, because it can be changed into another prime (13773658262411) 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, 6886829131200 + 6886829131201.

It is an arithmetic number, because the mean of its divisors is an integer number (6886829131201).

Almost surely, 2^{13773658262401} is an apocalyptic number.

It is an amenable number.

13773658262401 is a deficient number, since it is larger than the sum of its proper divisors (1).

13773658262401 is an equidigital number, since it uses as much as digits as its factorization.

13773658262401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10160640, while the sum is 55.

The spelling of 13773658262401 in words is "thirteen trillion, seven hundred seventy-three billion, six hundred fifty-eight million, two hundred sixty-two thousand, four hundred one".