4506900017 has 2 divisors, whose sum is σ = 4506900018. Its totient is φ = 4506900016.

The previous prime is 4506899987. The next prime is 4506900019. The reversal of 4506900017 is 7100096054.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4503886321 + 3013696 = 67111^2 + 1736^2 .

It is a cyclic number.

It is not a de Polignac number, because 4506900017 - 2¹⁰ = 4506898993 is a prime.

Together with 4506900019, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (4506900019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2253450008 + 2253450009.

It is an arithmetic number, because the mean of its divisors is an integer number (2253450009).

Almost surely, 2^4506900017 is an apocalyptic number.

It is an amenable number.

4506900017 is a deficient number, since it is larger than the sum of its proper divisors (1).

4506900017 is an equidigital number, since it uses as much as digits as its factorization.

4506900017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 4506900017 is about 67133.4493155238. The cubic root of 4506900017 is about 1651.8070214549.

The spelling of 4506900017 in words is "four billion, five hundred six million, nine hundred thousand, seventeen".