12586797409033 has 2 divisors, whose sum is σ = 12586797409034. Its totient is φ = 12586797409032.

The previous prime is 12586797409031. The next prime is 12586797409057. The reversal of 12586797409033 is 33090479768521.

12586797409033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12170943961344 + 415853447689 = 3488688^2 + 644867^2 .

It is a cyclic number.

It is not a de Polignac number, because 12586797409033 - 2¹ = 12586797409031 is a prime.

Together with 12586797409031, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (12586797409031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6293398704516 + 6293398704517.

It is an arithmetic number, because the mean of its divisors is an integer number (6293398704517).

It is a 2-persistent number, because it is pandigital, and so is 2⋅12586797409033 = 25173594818066, but 3⋅12586797409033 = 37760392227099 is not.

Almost surely, 2^{12586797409033} is an apocalyptic number.

It is an amenable number.

12586797409033 is a deficient number, since it is larger than the sum of its proper divisors (1).

12586797409033 is an equidigital number, since it uses as much as digits as its factorization.

12586797409033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 68584320, while the sum is 64.

The spelling of 12586797409033 in words is "twelve trillion, five hundred eighty-six billion, seven hundred ninety-seven million, four hundred nine thousand, thirty-three".