8004228313 has 2 divisors, whose sum is σ = 8004228314. Its totient is φ = 8004228312.

The previous prime is 8004228307. The next prime is 8004228341. The reversal of 8004228313 is 3138224008.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7325990464 + 678237849 = 85592^2 + 26043^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8004228313 is a prime.

It is not a weakly prime, because it can be changed into another prime (8004228383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4002114156 + 4002114157.

It is an arithmetic number, because the mean of its divisors is an integer number (4002114157).

Almost surely, 2^8004228313 is an apocalyptic number.

It is an amenable number.

8004228313 is a deficient number, since it is larger than the sum of its proper divisors (1).

8004228313 is an equidigital number, since it uses as much as digits as its factorization.

8004228313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 8004228313 is about 89466.3529657938. The cubic root of 8004228313 is about 2000.3522973563.

The spelling of 8004228313 in words is "eight billion, four million, two hundred twenty-eight thousand, three hundred thirteen".