13582561 has 4 divisors (see below), whose sum is σ = 13617172. Its totient is φ = 13547952.

The previous prime is 13582537. The next prime is 13582579. The reversal of 13582561 is 16528531.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 16528531 = 467 ⋅35393.

It can be written as a sum of positive squares in 2 ways, for example, as 10627600 + 2954961 = 3260^2 + 1719^2 .

It is a cyclic number.

It is not a de Polignac number, because 13582561 - 2⁵ = 13582529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13582501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16710 + ... + 17503.

It is an arithmetic number, because the mean of its divisors is an integer number (3404293).

Almost surely, 2^13582561 is an apocalyptic number.

It is an amenable number.

13582561 is a deficient number, since it is larger than the sum of its proper divisors (34611).

13582561 is an equidigital number, since it uses as much as digits as its factorization.

13582561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34610.

The product of its digits is 7200, while the sum is 31.

The square root of 13582561 is about 3685.4526180647. The cubic root of 13582561 is about 238.5945694844.

The spelling of 13582561 in words is "thirteen million, five hundred eighty-two thousand, five hundred sixty-one".