2504581 has 2 divisors, whose sum is σ = 2504582. Its totient is φ = 2504580.

The previous prime is 2504569. The next prime is 2504587. The reversal of 2504581 is 1854052.

2504581 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., 1809025 + 695556 = 1345^2 + 834^2 .

It is a cyclic number.

It is not a de Polignac number, because 2504581 - 2⁹ = 2504069 is a prime.

It is a super-2 number, since 2×2504581² = 12545851971122, which contains 22 as substring.

2504581 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2504587) 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, 1252290 + 1252291.

It is an arithmetic number, because the mean of its divisors is an integer number (1252291).

2^2504581 is an apocalyptic number.

It is an amenable number.

2504581 is a deficient number, since it is larger than the sum of its proper divisors (1).

2504581 is an equidigital number, since it uses as much as digits as its factorization.

2504581 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 2504581 is about 1582.5868064659. The cubic root of 2504581 is about 135.8037285609.

The spelling of 2504581 in words is "two million, five hundred four thousand, five hundred eighty-one".