1304144209 has 2 divisors, whose sum is σ = 1304144210. Its totient is φ = 1304144208.

The previous prime is 1304144189. The next prime is 1304144227. The reversal of 1304144209 is 9024414031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 853516225 + 450627984 = 29215^2 + 21228^2 .

It is a cyclic number.

It is not a de Polignac number, because 1304144209 - 2⁹ = 1304143697 is a prime.

It is not a weakly prime, because it can be changed into another prime (1304144269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 652072104 + 652072105.

It is an arithmetic number, because the mean of its divisors is an integer number (652072105).

Almost surely, 2^1304144209 is an apocalyptic number.

It is an amenable number.

1304144209 is a deficient number, since it is larger than the sum of its proper divisors (1).

1304144209 is an equidigital number, since it uses as much as digits as its factorization.

1304144209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 1304144209 is about 36112.9368647857. The cubic root of 1304144209 is about 1092.5513862726.

The spelling of 1304144209 in words is "one billion, three hundred four million, one hundred forty-four thousand, two hundred nine".