2582581 has 2 divisors, whose sum is σ = 2582582. Its totient is φ = 2582580.

The previous prime is 2582551. The next prime is 2582609. The reversal of 2582581 is 1852852.

2582581 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2430481 + 152100 = 1559^2 + 390^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2582581 is a prime.

It is a super-2 number, since 2×2582581² = 13339449243122, which contains 22 as substring.

It is a Chen prime.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2582501) 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 as a sum of consecutive naturals, namely, 1291290 + 1291291.

It is an arithmetic number, because the mean of its divisors is an integer number (1291291).

2^2582581 is an apocalyptic number.

It is an amenable number.

2582581 is a deficient number, since it is larger than the sum of its proper divisors (1).

2582581 is an equidigital number, since it uses as much as digits as its factorization.

2582581 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6400, while the sum is 31.

The square root of 2582581 is about 1607.0410697926. The cubic root of 2582581 is about 137.1991172839.

The spelling of 2582581 in words is "two million, five hundred eighty-two thousand, five hundred eighty-one".