2552581 has 2 divisors, whose sum is σ = 2552582. Its totient is φ = 2552580.

The previous prime is 2552531. The next prime is 2552587. The reversal of 2552581 is 1852552.

2552581 = T₁₃₀₃ + T₁₃₀₄ + T₁₃₀₅.

2552581 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., 2076481 + 476100 = 1441^2 + 690^2 .

It is a cyclic number.

It is not a de Polignac number, because 2552581 - 2¹⁵ = 2519813 is a prime.

It is a super-2 number, since 2×2552581² = 13031339523122, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2552587) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1276290 + 1276291.

It is an arithmetic number, because the mean of its divisors is an integer number (1276291).

2^2552581 is an apocalyptic number.

2552581 is the 1305-th centered triangular number.

It is an amenable number.

2552581 is a deficient number, since it is larger than the sum of its proper divisors (1).

2552581 is an equidigital number, since it uses as much as digits as its factorization.

2552581 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4000, while the sum is 28.

The square root of 2552581 is about 1597.6798803265. The cubic root of 2552581 is about 136.6657987915.

The spelling of 2552581 in words is "two million, five hundred fifty-two thousand, five hundred eighty-one".