800306603009 has 2 divisors, whose sum is σ = 800306603010. Its totient is φ = 800306603008.

The previous prime is 800306602973. The next prime is 800306603039. The reversal of 800306603009 is 900306603008.

800306603009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 693717412609 + 106589190400 = 832897^2 + 326480^2 .

It is a cyclic number.

It is not a de Polignac number, because 800306603009 - 2¹² = 800306598913 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 800306603009.

It is not a weakly prime, because it can be changed into another prime (800306603039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400153301504 + 400153301505.

It is an arithmetic number, because the mean of its divisors is an integer number (400153301505).

Almost surely, 2^800306603009 is an apocalyptic number.

It is an amenable number.

800306603009 is a deficient number, since it is larger than the sum of its proper divisors (1).

800306603009 is an equidigital number, since it uses as much as digits as its factorization.

800306603009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23328, while the sum is 35.

Subtracting 800306603009 from its reverse (900306603008), we obtain a palindrome (99999999999).

The spelling of 800306603009 in words is "eight hundred billion, three hundred six million, six hundred three thousand, nine".