12938287585681 has 2 divisors, whose sum is σ = 12938287585682. Its totient is φ = 12938287585680.

The previous prime is 12938287585621. The next prime is 12938287585787. The reversal of 12938287585681 is 18658578283921.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12313017838081 + 625269747600 = 3508991^2 + 790740^2 .

It is a cyclic number.

It is not a de Polignac number, because 12938287585681 - 2¹³ = 12938287577489 is a prime.

It is a super-3 number, since 3×12938287585681³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (12938287585621) 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, 6469143792840 + 6469143792841.

It is an arithmetic number, because the mean of its divisors is an integer number (6469143792841).

Almost surely, 2^{12938287585681} is an apocalyptic number.

It is an amenable number.

12938287585681 is a deficient number, since it is larger than the sum of its proper divisors (1).

12938287585681 is an equidigital number, since it uses as much as digits as its factorization.

12938287585681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 464486400, while the sum is 73.

The spelling of 12938287585681 in words is "twelve trillion, nine hundred thirty-eight billion, two hundred eighty-seven million, five hundred eighty-five thousand, six hundred eighty-one".