4165505305 has 16 divisors (see below), whose sum is σ = 5432510160. Its totient is φ = 3047839488.

The previous prime is 4165505303. The next prime is 4165505339. The reversal of 4165505305 is 5035055614.

It can be written as a sum of positive squares in 8 ways, for example, as 19175641 + 4146329664 = 4379^2 + 64392^2 .

It is a cyclic number.

It is not a de Polignac number, because 4165505305 - 2¹ = 4165505303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4165505303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286882 + ... + 301051.

It is an arithmetic number, because the mean of its divisors is an integer number (339531885).

Almost surely, 2^4165505305 is an apocalyptic number.

It is an amenable number.

4165505305 is a deficient number, since it is larger than the sum of its proper divisors (1267004855).

4165505305 is a wasteful number, since it uses less digits than its factorization.

4165505305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588060.

The product of its (nonzero) digits is 45000, while the sum is 34.

The square root of 4165505305 is about 64540.7259410676. The cubic root of 4165505305 is about 1608.9994561355. Note that the first 3 decimals are identical.

The spelling of 4165505305 in words is "four billion, one hundred sixty-five million, five hundred five thousand, three hundred five".