8005053027 has 16 divisors (see below), whose sum is σ = 11021281280. Its totient is φ = 5162875200.

The previous prime is 8005052987. The next prime is 8005053029. The reversal of 8005053027 is 7203505008.

It is a happy number.

It is not a de Polignac number, because 8005053027 - 2²⁷ = 7870835299 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8005052985 and 8005053003.

It is not an unprimeable number, because it can be changed into a prime (8005053029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316002 + ... + 340392.

It is an arithmetic number, because the mean of its divisors is an integer number (688830080).

Almost surely, 2^8005053027 is an apocalyptic number.

8005053027 is a deficient number, since it is larger than the sum of its proper divisors (3016228253).

8005053027 is a wasteful number, since it uses less digits than its factorization.

8005053027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27954.

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 8005053027 is about 89470.9619206142. The cubic root of 8005053027 is about 2000.4209969579.

The spelling of 8005053027 in words is "eight billion, five million, fifty-three thousand, twenty-seven".