1006009006002 has 128 divisors (see below), whose sum is σ = 2729302345728. Its totient is φ = 238714214400.

The previous prime is 1006009005983. The next prime is 1006009006021. The reversal of 1006009006002 is 2006009006001.

It is an interprime number because it is at equal distance from previous prime (1006009005983) and next prime (1006009006021).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 280824 + ... + 1445987.

It is an arithmetic number, because the mean of its divisors is an integer number (21322674576).

Almost surely, 2^{1006009006002} is an apocalyptic number.

1006009006002 is an abundant number, since it is smaller than the sum of its proper divisors (1723293339726).

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

1006009006002 is a wasteful number, since it uses less digits than its factorization.

1006009006002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726944.

The product of its (nonzero) digits is 648, while the sum is 24.

Subtracting 1006009006002 from its reverse (2006009006001), we obtain a palindrome (999999999999).

The spelling of 1006009006002 in words is "one trillion, six billion, nine million, six thousand, two".