6000589000013 has 2 divisors, whose sum is σ = 6000589000014. Its totient is φ = 6000589000012.

The previous prime is 6000588999971. The next prime is 6000589000039. The reversal of 6000589000013 is 3100009850006.

6000589000013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3068319762244 + 2932269237769 = 1751662^2 + 1712387^2 .

It is a cyclic number.

It is not a de Polignac number, because 6000589000013 - 2¹² = 6000588995917 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6000589000073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3000294500006 + 3000294500007.

It is an arithmetic number, because the mean of its divisors is an integer number (3000294500007).

Almost surely, 2^{6000589000013} is an apocalyptic number.

It is an amenable number.

6000589000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

6000589000013 is an equidigital number, since it uses as much as digits as its factorization.

6000589000013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480, while the sum is 32.

The spelling of 6000589000013 in words is "six trillion, five hundred eighty-nine million, thirteen", and thus it is an aban number.