6586561 has 2 divisors, whose sum is σ = 6586562. Its totient is φ = 6586560.

The previous prime is 6586529. The next prime is 6586577. The reversal of 6586561 is 1656856.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3400336 + 3186225 = 1844^2 + 1785^2 .

It is a cyclic number.

It is not a de Polignac number, because 6586561 - 2⁵ = 6586529 is a prime.

It is a Chen prime.

6586561 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 6586561.

It is not a weakly prime, because it can be changed into another prime (6586501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3293280 + 3293281.

It is an arithmetic number, because the mean of its divisors is an integer number (3293281).

Almost surely, 2^6586561 is an apocalyptic number.

It is an amenable number.

6586561 is a deficient number, since it is larger than the sum of its proper divisors (1).

6586561 is an equidigital number, since it uses as much as digits as its factorization.

6586561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 43200, while the sum is 37.

The square root of 6586561 is about 2566.4296210884. The cubic root of 6586561 is about 187.4503429983.

The spelling of 6586561 in words is "six million, five hundred eighty-six thousand, five hundred sixty-one".