4506416309 has 2 divisors, whose sum is σ = 4506416310. Its totient is φ = 4506416308.

The previous prime is 4506416293. The next prime is 4506416323. The reversal of 4506416309 is 9036146054.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3880916209 + 625500100 = 62297^2 + 25010^2 .

It is a cyclic number.

It is not a de Polignac number, because 4506416309 - 2⁴ = 4506416293 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4506416399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2253208154 + 2253208155.

It is an arithmetic number, because the mean of its divisors is an integer number (2253208155).

Almost surely, 2^4506416309 is an apocalyptic number.

It is an amenable number.

4506416309 is a deficient number, since it is larger than the sum of its proper divisors (1).

4506416309 is an equidigital number, since it uses as much as digits as its factorization.

4506416309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 4506416309 is about 67129.8466332227. The cubic root of 4506416309 is about 1651.7479253391.

The spelling of 4506416309 in words is "four billion, five hundred six million, four hundred sixteen thousand, three hundred nine".