800106509 has 2 divisors, whose sum is σ = 800106510. Its totient is φ = 800106508.

The previous prime is 800106487. The next prime is 800106577. The reversal of 800106509 is 905601008.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 589421284 + 210685225 = 24278^2 + 14515^2 .

It is a cyclic number.

It is not a de Polignac number, because 800106509 - 2⁸ = 800106253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (800106599) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400053254 + 400053255.

It is an arithmetic number, because the mean of its divisors is an integer number (400053255).

Almost surely, 2^800106509 is an apocalyptic number.

It is an amenable number.

800106509 is a deficient number, since it is larger than the sum of its proper divisors (1).

800106509 is an equidigital number, since it uses as much as digits as its factorization.

800106509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 800106509 is about 28286.1540157017. The cubic root of 800106509 is about 928.3589624765.

The spelling of 800106509 in words is "eight hundred million, one hundred six thousand, five hundred nine".