4205965213 has 2 divisors, whose sum is σ = 4205965214. Its totient is φ = 4205965212.

The previous prime is 4205965199. The next prime is 4205965261. The reversal of 4205965213 is 3125695024.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3442990329 + 762974884 = 58677^2 + 27622^2 .

It is a cyclic number.

It is not a de Polignac number, because 4205965213 - 2²¹ = 4203868061 is a prime.

It is a super-2 number, since 2×4205965213² = 35380286745932270738, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4205965013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2102982606 + 2102982607.

It is an arithmetic number, because the mean of its divisors is an integer number (2102982607).

Almost surely, 2^4205965213 is an apocalyptic number.

It is an amenable number.

4205965213 is a deficient number, since it is larger than the sum of its proper divisors (1).

4205965213 is an equidigital number, since it uses as much as digits as its factorization.

4205965213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64800, while the sum is 37.

The square root of 4205965213 is about 64853.4132717778. The cubic root of 4205965213 is about 1614.1921295665.

The spelling of 4205965213 in words is "four billion, two hundred five million, nine hundred sixty-five thousand, two hundred thirteen".