663586561 has 16 divisors (see below), whose sum is σ = 741830400. Its totient is φ = 588417280.

The previous prime is 663586543. The next prime is 663586579. The reversal of 663586561 is 165685366.

It is an interprime number because it is at equal distance from previous prime (663586543) and next prime (663586579).

It is not a de Polignac number, because 663586561 - 2²⁵ = 630032129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (663586531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161865 + ... + 165913.

It is an arithmetic number, because the mean of its divisors is an integer number (46364400).

Almost surely, 2^663586561 is an apocalyptic number.

It is an amenable number.

663586561 is a deficient number, since it is larger than the sum of its proper divisors (78243839).

663586561 is a wasteful number, since it uses less digits than its factorization.

663586561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4424.

The product of its digits is 777600, while the sum is 46.

The square root of 663586561 is about 25760.1739318662. The cubic root of 663586561 is about 872.2330274063.

The spelling of 663586561 in words is "six hundred sixty-three million, five hundred eighty-six thousand, five hundred sixty-one".