4000113017 has 2 divisors, whose sum is σ = 4000113018. Its totient is φ = 4000113016.

The previous prime is 4000112983. The next prime is 4000113049. The reversal of 4000113017 is 7103110004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3585135376 + 414977641 = 59876^2 + 20371^2 .

It is a cyclic number.

It is not a de Polignac number, because 4000113017 - 2⁶ = 4000112953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4000112986 and 4000113004.

It is not a weakly prime, because it can be changed into another prime (4000113067) 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, 2000056508 + 2000056509.

It is an arithmetic number, because the mean of its divisors is an integer number (2000056509).

Almost surely, 2^4000113017 is an apocalyptic number.

It is an amenable number.

4000113017 is a deficient number, since it is larger than the sum of its proper divisors (1).

4000113017 is an equidigital number, since it uses as much as digits as its factorization.

4000113017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 4000113017 is about 63246.4466748923. The cubic root of 4000113017 is about 1587.4160021028.

The spelling of 4000113017 in words is "four billion, one hundred thirteen thousand, seventeen".