2505791 has 2 divisors, whose sum is σ = 2505792. Its totient is φ = 2505790.

The previous prime is 2505779. The next prime is 2505793. The reversal of 2505791 is 1975052.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2505791 - 2¹⁰ = 2504767 is a prime.

Together with 2505793, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2505793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1252895 + 1252896.

It is an arithmetic number, because the mean of its divisors is an integer number (1252896).

2^2505791 is an apocalyptic number.

2505791 is a deficient number, since it is larger than the sum of its proper divisors (1).

2505791 is an equidigital number, since it uses as much as digits as its factorization.

2505791 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3150, while the sum is 29.

The square root of 2505791 is about 1582.9690458123. The cubic root of 2505791 is about 135.8255946344.

The spelling of 2505791 in words is "two million, five hundred five thousand, seven hundred ninety-one".