3688387005013 has 2 divisors, whose sum is σ = 3688387005014. Its totient is φ = 3688387005012.

The previous prime is 3688387004999. The next prime is 3688387005059. The reversal of 3688387005013 is 3105007838863.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3520190231089 + 168196773924 = 1876217^2 + 410118^2 .

It is a cyclic number.

It is not a de Polignac number, because 3688387005013 - 2⁹ = 3688387004501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3688387005073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1844193502506 + 1844193502507.

It is an arithmetic number, because the mean of its divisors is an integer number (1844193502507).

Almost surely, 2^{3688387005013} is an apocalyptic number.

It is an amenable number.

3688387005013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3688387005013 is an equidigital number, since it uses as much as digits as its factorization.

3688387005013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 3688387005013 in words is "three trillion, six hundred eighty-eight billion, three hundred eighty-seven million, five thousand, thirteen".