39005305013 has 2 divisors, whose sum is σ = 39005305014. Its totient is φ = 39005305012.

The previous prime is 39005304937. The next prime is 39005305033. The reversal of 39005305013 is 31050350093.

39005305013 is digitally balanced in base 2, 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., 29343004804 + 9662300209 = 171298^2 + 98297^2 .

It is a cyclic number.

It is not a de Polignac number, because 39005305013 - 2¹⁰ = 39005303989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (39005305033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19502652506 + 19502652507.

It is an arithmetic number, because the mean of its divisors is an integer number (19502652507).

Almost surely, 2^39005305013 is an apocalyptic number.

It is an amenable number.

39005305013 is a deficient number, since it is larger than the sum of its proper divisors (1).

39005305013 is an equidigital number, since it uses as much as digits as its factorization.

39005305013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6075, while the sum is 29.

The spelling of 39005305013 in words is "thirty-nine billion, five million, three hundred five thousand, thirteen".