4002075017 has 2 divisors, whose sum is σ = 4002075018. Its totient is φ = 4002075016.

The previous prime is 4002074981. The next prime is 4002075031. The reversal of 4002075017 is 7105702004.

4002075017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3996894841 + 5180176 = 63221^2 + 2276^2 .

It is a cyclic number.

It is not a de Polignac number, because 4002075017 - 2⁶ = 4002074953 is a prime.

It is not a weakly prime, because it can be changed into another prime (4002075047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2001037508 + 2001037509.

It is an arithmetic number, because the mean of its divisors is an integer number (2001037509).

Almost surely, 2^4002075017 is an apocalyptic number.

It is an amenable number.

4002075017 is a deficient number, since it is larger than the sum of its proper divisors (1).

4002075017 is an equidigital number, since it uses as much as digits as its factorization.

4002075017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1960, while the sum is 26.

The square root of 4002075017 is about 63261.9555262086. The cubic root of 4002075017 is about 1587.6754948649.

It can be divided in two parts, 400207 and 5017, that added together give a cube (405224 = 74³).

The spelling of 4002075017 in words is "four billion, two million, seventy-five thousand, seventeen".