820607509 has 2 divisors, whose sum is σ = 820607510. Its totient is φ = 820607508.

The previous prime is 820607467. The next prime is 820607521. The reversal of 820607509 is 905706028.

820607509 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., 649128484 + 171479025 = 25478^2 + 13095^2 .

It is a cyclic number.

It is not a de Polignac number, because 820607509 - 2²⁹ = 283736597 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820607209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410303754 + 410303755.

It is an arithmetic number, because the mean of its divisors is an integer number (410303755).

Almost surely, 2^820607509 is an apocalyptic number.

It is an amenable number.

820607509 is a deficient number, since it is larger than the sum of its proper divisors (1).

820607509 is an equidigital number, since it uses as much as digits as its factorization.

820607509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 820607509 is about 28646.2477298511. The cubic root of 820607509 is about 936.2212525910.

The spelling of 820607509 in words is "eight hundred twenty million, six hundred seven thousand, five hundred nine".