2591 has 2 divisors, whose sum is σ = 2592. Its totient is φ = 2590.

The previous prime is 2579. The next prime is 2593. The reversal of 2591 is 1952.

2591 is nontrivially palindromic in base 15.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2591 - 2¹⁰ = 1567 is a prime.

It is a super-3 number, since 3×2591³ = 52182333213, which contains 333 as substring.

Together with 2593, it forms a pair of twin primes.

It is a Chen prime.

2591 is an undulating number in base 15.

It is equal to p₃₇₇ and since 2591 and 377 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 6, base 9, base 12 and base 13.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 2591.

It is not a weakly prime, because it can be changed into another prime (2593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1295 + 1296.

It is an arithmetic number, because the mean of its divisors is an integer number (1296).

2²⁵⁹¹ is an apocalyptic number.

2591 is a deficient number, since it is larger than the sum of its proper divisors (1).

2591 is an equidigital number, since it uses as much as digits as its factorization.

2591 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 90, while the sum is 17.

The square root of 2591 is about 50.9018663705. The cubic root of 2591 is about 13.7348041491.

The spelling of 2591 in words is "two thousand, five hundred ninety-one".