2505585581 has 2 divisors, whose sum is σ = 2505585582. Its totient is φ = 2505585580.

The previous prime is 2505585521. The next prime is 2505585601. The reversal of 2505585581 is 1855855052.

2505585581 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., 1995051556 + 510534025 = 44666^2 + 22595^2 .

It is a cyclic number.

It is not a de Polignac number, because 2505585581 - 2²⁶ = 2438476717 is a prime.

It is a super-2 number, since 2×2505585581² = 12555918207430215122, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2505585521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1252792790 + 1252792791.

It is an arithmetic number, because the mean of its divisors is an integer number (1252792791).

Almost surely, 2^2505585581 is an apocalyptic number.

It is an amenable number.

2505585581 is a deficient number, since it is larger than the sum of its proper divisors (1).

2505585581 is an equidigital number, since it uses as much as digits as its factorization.

2505585581 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 400000, while the sum is 44.

The square root of 2505585581 is about 50055.8246460889. The cubic root of 2505585581 is about 1358.2188297606.

The spelling of 2505585581 in words is "two billion, five hundred five million, five hundred eighty-five thousand, five hundred eighty-one".