1008668321 has 2 divisors, whose sum is σ = 1008668322. Its totient is φ = 1008668320.

The previous prime is 1008668303. The next prime is 1008668357. The reversal of 1008668321 is 1238668001.

1008668321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 868127296 + 140541025 = 29464^2 + 11855^2 .

It is a cyclic number.

It is not a de Polignac number, because 1008668321 - 2¹⁴ = 1008651937 is a prime.

It is not a weakly prime, because it can be changed into another prime (1008668621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504334160 + 504334161.

It is an arithmetic number, because the mean of its divisors is an integer number (504334161).

Almost surely, 2^1008668321 is an apocalyptic number.

It is an amenable number.

1008668321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1008668321 is an equidigital number, since it uses as much as digits as its factorization.

1008668321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 1008668321 is about 31759.5390552193. The cubic root of 1008668321 is about 1002.8811314429.

The spelling of 1008668321 in words is "one billion, eight million, six hundred sixty-eight thousand, three hundred twenty-one".