800507993 has 2 divisors, whose sum is σ = 800507994. Its totient is φ = 800507992.

The previous prime is 800507963. The next prime is 800508011. The reversal of 800507993 is 399705008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 693426889 + 107081104 = 26333^2 + 10348^2 .

It is a cyclic number.

It is not a de Polignac number, because 800507993 - 2¹⁰ = 800506969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 800507993.

It is not a weakly prime, because it can be changed into another prime (800507963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400253996 + 400253997.

It is an arithmetic number, because the mean of its divisors is an integer number (400253997).

Almost surely, 2^800507993 is an apocalyptic number.

It is an amenable number.

800507993 is a deficient number, since it is larger than the sum of its proper divisors (1).

800507993 is an equidigital number, since it uses as much as digits as its factorization.

800507993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 68040, while the sum is 41.

The square root of 800507993 is about 28293.2499547153. The cubic root of 800507993 is about 928.5142163668.

The spelling of 800507993 in words is "eight hundred million, five hundred seven thousand, nine hundred ninety-three".