10584855709 has 2 divisors, whose sum is σ = 10584855710. Its totient is φ = 10584855708.

The previous prime is 10584855649. The next prime is 10584855719. The reversal of 10584855709 is 90755848501.

10584855709 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., 9762428025 + 822427684 = 98805^2 + 28678^2 .

It is a cyclic number.

It is not a de Polignac number, because 10584855709 - 2⁷ = 10584855581 is a prime.

It is a super-2 number, since 2×10584855709² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10584855719) 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, 5292427854 + 5292427855.

It is an arithmetic number, because the mean of its divisors is an integer number (5292427855).

Almost surely, 2^10584855709 is an apocalyptic number.

It is an amenable number.

10584855709 is a deficient number, since it is larger than the sum of its proper divisors (1).

10584855709 is an equidigital number, since it uses as much as digits as its factorization.

10584855709 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016000, while the sum is 52.

The spelling of 10584855709 in words is "ten billion, five hundred eighty-four million, eight hundred fifty-five thousand, seven hundred nine".