8201582008 has 32 divisors (see below), whose sum is σ = 15427486800. Its totient is φ = 4087611648.

The previous prime is 8201581979. The next prime is 8201582089. The reversal of 8201582008 is 8002851028.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5065023 + ... + 5066641.

Almost surely, 2^8201582008 is an apocalyptic number.

It is an amenable number.

8201582008 is a deficient number, since it is larger than the sum of its proper divisors (7225904792).

8201582008 is a wasteful number, since it uses less digits than its factorization.

8201582008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3271 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

The square root of 8201582008 is about 90562.5861379853. The cubic root of 8201582008 is about 2016.6593484272.

The spelling of 8201582008 in words is "eight billion, two hundred one million, five hundred eighty-two thousand, eight".