9857652809 has 2 divisors, whose sum is σ = 9857652810. Its totient is φ = 9857652808.

The previous prime is 9857652743. The next prime is 9857652811. The reversal of 9857652809 is 9082567589.

9857652809 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., 5069012809 + 4788640000 = 71197^2 + 69200^2 .

It is a cyclic number.

It is not a de Polignac number, because 9857652809 - 2²⁴ = 9840875593 is a prime.

It is a super-3 number, since 3×9857652809³ (a number of 31 digits) contains 333 as substring.

It is a Sophie Germain prime.

Together with 9857652811, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (9857652109) 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, 4928826404 + 4928826405.

It is an arithmetic number, because the mean of its divisors is an integer number (4928826405).

Almost surely, 2^9857652809 is an apocalyptic number.

It is an amenable number.

9857652809 is a deficient number, since it is larger than the sum of its proper divisors (1).

9857652809 is an equidigital number, since it uses as much as digits as its factorization.

9857652809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10886400, while the sum is 59.

The square root of 9857652809 is about 99285.7130155190. The cubic root of 9857652809 is about 2144.1632066514.

The spelling of 9857652809 in words is "nine billion, eight hundred fifty-seven million, six hundred fifty-two thousand, eight hundred nine".