4004332313 has 2 divisors, whose sum is σ = 4004332314. Its totient is φ = 4004332312.

The previous prime is 4004332253. The next prime is 4004332331. The reversal of 4004332313 is 3132334004.

Together with next prime (4004332331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3580466569 + 423865744 = 59837^2 + 20588^2 .

It is a cyclic number.

It is not a de Polignac number, because 4004332313 - 2³⁰ = 2930590489 is a prime.

It is not a weakly prime, because it can be changed into another prime (4004332393) 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, 2002166156 + 2002166157.

It is an arithmetic number, because the mean of its divisors is an integer number (2002166157).

Almost surely, 2^4004332313 is an apocalyptic number.

It is an amenable number.

4004332313 is a deficient number, since it is larger than the sum of its proper divisors (1).

4004332313 is an equidigital number, since it uses as much as digits as its factorization.

4004332313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 23.

The square root of 4004332313 is about 63279.7938760865. The cubic root of 4004332313 is about 1587.9739383755.

Adding to 4004332313 its reverse (3132334004), we get a palindrome (7136666317).

The spelling of 4004332313 in words is "four billion, four million, three hundred thirty-two thousand, three hundred thirteen".