12808981785601 has 2 divisors, whose sum is σ = 12808981785602. Its totient is φ = 12808981785600.

The previous prime is 12808981785599. The next prime is 12808981785667. The reversal of 12808981785601 is 10658718980821.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7248888525376 + 5560093260225 = 2692376^2 + 2357985^2 .

It is an emirp because it is prime and its reverse (10658718980821) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12808981785601 - 2¹ = 12808981785599 is a prime.

Together with 12808981785599, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (12808981285601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6404490892800 + 6404490892801.

It is an arithmetic number, because the mean of its divisors is an integer number (6404490892801).

Almost surely, 2^{12808981785601} is an apocalyptic number.

It is an amenable number.

12808981785601 is a deficient number, since it is larger than the sum of its proper divisors (1).

12808981785601 is an equidigital number, since it uses as much as digits as its factorization.

12808981785601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15482880, while the sum is 64.

The spelling of 12808981785601 in words is "twelve trillion, eight hundred eight billion, nine hundred eighty-one million, seven hundred eighty-five thousand, six hundred one".