1006005000 has 640 divisors, whose sum is σ = 4282629120. Its totient is φ = 190080000.

The previous prime is 1006004957. The next prime is 1006005019. The reversal of 1006005000 is 5006001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 15014967 + ... + 15015033.

It is an arithmetic number, because the mean of its divisors is an integer number (6691608).

Almost surely, 2^1006005000 is an apocalyptic number.

1006005000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141314560).

1006005000 is an abundant number, since it is smaller than the sum of its proper divisors (3276624120).

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

1006005000 is a wasteful number, since it uses less digits than its factorization.

1006005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 1006005000 is about 31717.5818750421. The cubic root of 1006005000 is about 1001.9976733106.

The spelling of 1006005000 in words is "one billion, six million, five thousand".