1001006006 has 48 divisors (see below), whose sum is σ = 2052041040. Its totient is φ = 359997120.

The previous prime is 1001005997. The next prime is 1001006009. The reversal of 1001006006 is 6006001001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001006009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21701 + ... + 49728.

It is an arithmetic number, because the mean of its divisors is an integer number (42750855).

Almost surely, 2^1001006006 is an apocalyptic number.

1001006006 is an abundant number, since it is smaller than the sum of its proper divisors (1051035034).

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

1001006006 is a wasteful number, since it uses less digits than its factorization.

1001006006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71469 (or 71462 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1001006006 is about 31638.6789547225. The cubic root of 1001006006 is about 1000.3352229464.

Adding to 1001006006 its reverse (6006001001), we get a palindrome (7007007007).

The spelling of 1001006006 in words is "one billion, one million, six thousand, six".