1009002008 has 32 divisors (see below), whose sum is σ = 2183151360. Its totient is φ = 428228640.

The previous prime is 1009001993. The next prime is 1009002013. The reversal of 1009002008 is 8002009001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81698 + ... + 93233.

It is an arithmetic number, because the mean of its divisors is an integer number (68223480).

Almost surely, 2^1009002008 is an apocalyptic number.

It is an amenable number.

1009002008 is an abundant number, since it is smaller than the sum of its proper divisors (1174149352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1009002008 is a wasteful number, since it uses less digits than its factorization.

1009002008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175047 (or 175043 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 1009002008 is about 31764.7919558747. The cubic root of 1009002008 is about 1002.9917100785.

The spelling of 1009002008 in words is "one billion, nine million, two thousand, eight".