1002008115 has 48 divisors (see below), whose sum is σ = 1779492000. Its totient is φ = 521427456.

The previous prime is 1002008099. The next prime is 1002008129. The reversal of 1002008115 is 5118002001.

It is not a de Polignac number, because 1002008115 - 2⁴ = 1002008099 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 327111 + ... + 330159.

It is an arithmetic number, because the mean of its divisors is an integer number (37072750).

Almost surely, 2^1002008115 is an apocalyptic number.

1002008115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1002008115 is a deficient number, since it is larger than the sum of its proper divisors (777483885).

1002008115 is a wasteful number, since it uses less digits than its factorization.

1002008115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 1002008115 is about 31654.5117637281. The cubic root of 1002008115 is about 1000.6689241074.

The spelling of 1002008115 in words is "one billion, two million, eight thousand, one hundred fifteen".