4165663313 has 48 divisors (see below), whose sum is σ = 5135011200. Its totient is φ = 3374856576.

The previous prime is 4165663297. The next prime is 4165663349. The reversal of 4165663313 is 3133665614.

It is not a de Polignac number, because 4165663313 - 2⁴ = 4165663297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4165663363) 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 in 47 ways as a sum of consecutive naturals, for example, 57063845 + ... + 57063917.

It is an arithmetic number, because the mean of its divisors is an integer number (106979400).

Almost surely, 2^4165663313 is an apocalyptic number.

4165663313 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

4165663313 is a deficient number, since it is larger than the sum of its proper divisors (969347887).

4165663313 is an frugal number, since it uses more digits than its factorization.

4165663313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 176 counting only the distinct ones).

The product of its digits is 116640, while the sum is 38.

The square root of 4165663313 is about 64541.9500247707. The cubic root of 4165663313 is about 1609.0198003317.

The spelling of 4165663313 in words is "four billion, one hundred sixty-five million, six hundred sixty-three thousand, three hundred thirteen".