8205724993 has 2 divisors, whose sum is σ = 8205724994. Its totient is φ = 8205724992.

The previous prime is 8205724949. The next prime is 8205725039. The reversal of 8205724993 is 3994275028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7801835584 + 403889409 = 88328^2 + 20097^2 .

It is a cyclic number.

It is not a de Polignac number, because 8205724993 - 2⁹ = 8205724481 is a prime.

It is not a weakly prime, because it can be changed into another prime (8205734993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4102862496 + 4102862497.

It is an arithmetic number, because the mean of its divisors is an integer number (4102862497).

Almost surely, 2^8205724993 is an apocalyptic number.

It is an amenable number.

8205724993 is a deficient number, since it is larger than the sum of its proper divisors (1).

8205724993 is an equidigital number, since it uses as much as digits as its factorization.

8205724993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1088640, while the sum is 49.

The square root of 8205724993 is about 90585.4568515278. The cubic root of 8205724993 is about 2016.9988594707.

The spelling of 8205724993 in words is "eight billion, two hundred five million, seven hundred twenty-four thousand, nine hundred ninety-three".