3589721264113 has 2 divisors, whose sum is σ = 3589721264114. Its totient is φ = 3589721264112.

The previous prime is 3589721264111. The next prime is 3589721264153. The reversal of 3589721264113 is 3114621279853.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2561865939889 + 1027855324224 = 1600583^2 + 1013832^2 .

It is an emirp because it is prime and its reverse (3114621279853) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3589721264113 - 2¹ = 3589721264111 is a prime.

Together with 3589721264111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (3589721264111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1794860632056 + 1794860632057.

It is an arithmetic number, because the mean of its divisors is an integer number (1794860632057).

Almost surely, 2^{3589721264113} is an apocalyptic number.

It is an amenable number.

3589721264113 is a deficient number, since it is larger than the sum of its proper divisors (1).

3589721264113 is an equidigital number, since it uses as much as digits as its factorization.

3589721264113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2177280, while the sum is 52.

The spelling of 3589721264113 in words is "three trillion, five hundred eighty-nine billion, seven hundred twenty-one million, two hundred sixty-four thousand, one hundred thirteen".