2563849 has 2 divisors, whose sum is σ = 2563850. Its totient is φ = 2563848.

The previous prime is 2563837. The next prime is 2563859. The reversal of 2563849 is 9483652.

2563849 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., 1974025 + 589824 = 1405^2 + 768^2 .

It is a cyclic number.

It is not a de Polignac number, because 2563849 - 2¹⁹ = 2039561 is a prime.

It is a Chen prime.

It is a d-powerful number, because it can be written as 2¹⁹ + 5⁹ + 6⁶ + 3⁷ + 8⁵ + 4⁶ + 9³ .

It is not a weakly prime, because it can be changed into another prime (2563819) 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, 1281924 + 1281925.

It is an arithmetic number, because the mean of its divisors is an integer number (1281925).

2^2563849 is an apocalyptic number.

It is an amenable number.

2563849 is a deficient number, since it is larger than the sum of its proper divisors (1).

2563849 is an equidigital number, since it uses as much as digits as its factorization.

2563849 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 51840, while the sum is 37.

The square root of 2563849 is about 1601.2023607277. The cubic root of 2563849 is about 136.8666007509.

The spelling of 2563849 in words is "two million, five hundred sixty-three thousand, eight hundred forty-nine".