8007616017 has 10 divisors (see below), whose sum is σ = 11961994418. Its totient is φ = 5338410624.

The previous prime is 8007616013. The next prime is 8007616049. The reversal of 8007616017 is 7106167008.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7868399616 + 139216401 = 88704^2 + 11799^2 .

It is not a de Polignac number, because 8007616017 - 2² = 8007616013 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8007616013) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 49429648 + ... + 49429809.

Almost surely, 2^8007616017 is an apocalyptic number.

It is an amenable number.

8007616017 is a deficient number, since it is larger than the sum of its proper divisors (3954378401).

8007616017 is an equidigital number, since it uses as much as digits as its factorization.

8007616017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98859469 (or 98859460 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 8007616017 is about 89485.2838013044. The cubic root of 8007616017 is about 2000.6344667880.

The spelling of 8007616017 in words is "eight billion, seven million, six hundred sixteen thousand, seventeen".