13516507804801 has 2 divisors, whose sum is σ = 13516507804802. Its totient is φ = 13516507804800.

The previous prime is 13516507804781. The next prime is 13516507804819. The reversal of 13516507804801 is 10840870561531.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11207396585025 + 2309111219776 = 3347745^2 + 1519576^2 .

It is a cyclic number.

It is not a de Polignac number, because 13516507804801 - 2¹⁷ = 13516507673729 is a prime.

It is not a weakly prime, because it can be changed into another prime (13516507801801) 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, 6758253902400 + 6758253902401.

It is an arithmetic number, because the mean of its divisors is an integer number (6758253902401).

Almost surely, 2^{13516507804801} is an apocalyptic number.

It is an amenable number.

13516507804801 is a deficient number, since it is larger than the sum of its proper divisors (1).

13516507804801 is an equidigital number, since it uses as much as digits as its factorization.

13516507804801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 806400, while the sum is 49.

The spelling of 13516507804801 in words is "thirteen trillion, five hundred sixteen billion, five hundred seven million, eight hundred four thousand, eight hundred one".