4005016305593 has 2 divisors, whose sum is σ = 4005016305594. Its totient is φ = 4005016305592.

The previous prime is 4005016305581. The next prime is 4005016305611. The reversal of 4005016305593 is 3955036105004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3038003682169 + 967012623424 = 1742987^2 + 983368^2 .

It is a cyclic number.

It is not a de Polignac number, because 4005016305593 - 2³⁶ = 3936296828857 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4005016305593.

It is not a weakly prime, because it can be changed into another prime (4005016305893) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2002508152796 + 2002508152797.

It is an arithmetic number, because the mean of its divisors is an integer number (2002508152797).

Almost surely, 2^{4005016305593} is an apocalyptic number.

It is an amenable number.

4005016305593 is a deficient number, since it is larger than the sum of its proper divisors (1).

4005016305593 is an equidigital number, since it uses as much as digits as its factorization.

4005016305593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243000, while the sum is 41.

The spelling of 4005016305593 in words is "four trillion, five billion, sixteen million, three hundred five thousand, five hundred ninety-three".