820806956073 has 12 divisors (see below), whose sum is σ = 1276810820740. Its totient is φ = 505111972896.

The previous prime is 820806955999. The next prime is 820806956077. The reversal of 820806956073 is 370659608028.

It is a happy number.

820806956073 is a `hidden beast` number, since 8 + 2 + 0 + 8 + 0 + 6 + 9 + 560 + 73 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 196348244544 + 624458711529 = 443112^2 + 790227^2 .

It is not a de Polignac number, because 820806956073 - 2⁸ = 820806955817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (820806956077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3507721918 + ... + 3507722151.

Almost surely, 2^820806956073 is an apocalyptic number.

It is an amenable number.

820806956073 is a deficient number, since it is larger than the sum of its proper divisors (456003864667).

820806956073 is a wasteful number, since it uses less digits than its factorization.

820806956073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7015444088 (or 7015444085 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 820806956073 in words is "eight hundred twenty billion, eight hundred six million, nine hundred fifty-six thousand, seventy-three".