384048013 has 2 divisors, whose sum is σ = 384048014. Its totient is φ = 384048012.

The previous prime is 384048011. The next prime is 384048019. The reversal of 384048013 is 310840483.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 371217289 + 12830724 = 19267^2 + 3582^2 .

It is an emirp because it is prime and its reverse (310840483) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 384048013 - 2¹ = 384048011 is a prime.

Together with 384048011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (384048011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192024006 + 192024007.

It is an arithmetic number, because the mean of its divisors is an integer number (192024007).

Almost surely, 2^384048013 is an apocalyptic number.

It is an amenable number.

384048013 is a deficient number, since it is larger than the sum of its proper divisors (1).

384048013 is an equidigital number, since it uses as much as digits as its factorization.

384048013 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 384048013 is about 19597.1429805469. The cubic root of 384048013 is about 726.8785294159.

Adding to 384048013 its reverse (310840483), we get a palindrome (694888496).

The spelling of 384048013 in words is "three hundred eighty-four million, forty-eight thousand, thirteen".