8005005305 has 16 divisors (see below), whose sum is σ = 11095709184. Its totient is φ = 5479361280.

The previous prime is 8005005293. The next prime is 8005005317. The reversal of 8005005305 is 5035005008.

It is an interprime number because it is at equal distance from previous prime (8005005293) and next prime (8005005317).

It is not a de Polignac number, because 8005005305 - 2⁸ = 8005005049 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4279817 + ... + 4281686.

It is an arithmetic number, because the mean of its divisors is an integer number (693481824).

Almost surely, 2^8005005305 is an apocalyptic number.

8005005305 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8005005305 is a deficient number, since it is larger than the sum of its proper divisors (3090703879).

8005005305 is a wasteful number, since it uses less digits than its factorization.

8005005305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8561536.

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 8005005305 is about 89470.6952303378. The cubic root of 8005005305 is about 2000.4170217904.

The spelling of 8005005305 in words is "eight billion, five million, five thousand, three hundred five".