10584322561 has 2 divisors, whose sum is σ = 10584322562. Its totient is φ = 10584322560.

The previous prime is 10584322537. The next prime is 10584322577. The reversal of 10584322561 is 16522348501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10435848336 + 148474225 = 102156^2 + 12185^2 .

It is a cyclic number.

It is not a de Polignac number, because 10584322561 - 2¹⁷ = 10584191489 is a prime.

It is a super-2 number, since 2×10584322561² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10584322561.

It is not a weakly prime, because it can be changed into another prime (10584322061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5292161280 + 5292161281.

It is an arithmetic number, because the mean of its divisors is an integer number (5292161281).

Almost surely, 2^10584322561 is an apocalyptic number.

It is an amenable number.

10584322561 is a deficient number, since it is larger than the sum of its proper divisors (1).

10584322561 is an equidigital number, since it uses as much as digits as its factorization.

10584322561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 10584322561 in words is "ten billion, five hundred eighty-four million, three hundred twenty-two thousand, five hundred sixty-one".