10584315691 has 2 divisors, whose sum is σ = 10584315692. Its totient is φ = 10584315690.

The previous prime is 10584315689. The next prime is 10584315701. The reversal of 10584315691 is 19651348501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10584315691 - 2¹ = 10584315689 is a prime.

It is a super-2 number, since 2×10584315691² (a number of 21 digits) contains 22 as substring.

Together with 10584315689, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10584315601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5292157845 + 5292157846.

It is an arithmetic number, because the mean of its divisors is an integer number (5292157846).

Almost surely, 2^10584315691 is an apocalyptic number.

10584315691 is a deficient number, since it is larger than the sum of its proper divisors (1).

10584315691 is an equidigital number, since it uses as much as digits as its factorization.

10584315691 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 129600, while the sum is 43.

The spelling of 10584315691 in words is "ten billion, five hundred eighty-four million, three hundred fifteen thousand, six hundred ninety-one".