2582561 has 4 divisors (see below), whose sum is σ = 2588352. Its totient is φ = 2576772.

The previous prime is 2582551. The next prime is 2582581. The reversal of 2582561 is 1652852.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2582561 - 2¹⁴ = 2566177 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2582501) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2165 + ... + 3138.

It is an arithmetic number, because the mean of its divisors is an integer number (647088).

2^2582561 is an apocalyptic number.

It is an amenable number.

2582561 is a deficient number, since it is larger than the sum of its proper divisors (5791).

2582561 is an equidigital number, since it uses as much as digits as its factorization.

2582561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5790.

The product of its digits is 4800, while the sum is 29.

The square root of 2582561 is about 1607.0348471642. The cubic root of 2582561 is about 137.1987631176.

The spelling of 2582561 in words is "two million, five hundred eighty-two thousand, five hundred sixty-one".