2564543329 has 2 divisors, whose sum is σ = 2564543330. Its totient is φ = 2564543328.

The previous prime is 2564543281. The next prime is 2564543339. The reversal of 2564543329 is 9233454652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1782781729 + 781761600 = 42223^2 + 27960^2 .

It is a cyclic number.

It is not a de Polignac number, because 2564543329 - 2¹⁹ = 2564019041 is a prime.

It is not a weakly prime, because it can be changed into another prime (2564543339) 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, 1282271664 + 1282271665.

It is an arithmetic number, because the mean of its divisors is an integer number (1282271665).

Almost surely, 2^2564543329 is an apocalyptic number.

It is an amenable number.

2564543329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564543329 is an equidigital number, since it uses as much as digits as its factorization.

2564543329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 777600, while the sum is 43.

The square root of 2564543329 is about 50641.3203718071. The cubic root of 2564543329 is about 1368.7895481606.

The spelling of 2564543329 in words is "two billion, five hundred sixty-four million, five hundred forty-three thousand, three hundred twenty-nine".