4205040013 has 2 divisors, whose sum is σ = 4205040014. Its totient is φ = 4205040012.

The previous prime is 4205040001. The next prime is 4205040017. The reversal of 4205040013 is 3100405024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4163088484 + 41951529 = 64522^2 + 6477^2 .

It is a cyclic number.

It is not a de Polignac number, because 4205040013 - 2¹⁷ = 4204908941 is a prime.

It is a super-3 number, since 3×4205040013³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4205040017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2102520006 + 2102520007.

It is an arithmetic number, because the mean of its divisors is an integer number (2102520007).

Almost surely, 2^4205040013 is an apocalyptic number.

It is an amenable number.

4205040013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4205040013 is an equidigital number, since it uses as much as digits as its factorization.

4205040013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 4205040013 is about 64846.2798701668. The cubic root of 4205040013 is about 1614.0737611696.

Adding to 4205040013 its reverse (3100405024), we get a palindrome (7305445037).

The spelling of 4205040013 in words is "four billion, two hundred five million, forty thousand, thirteen".