1006512066 has 96 divisors (see below), whose sum is σ = 2539555200. Its totient is φ = 282182400.

The previous prime is 1006512053. The next prime is 1006512071. The reversal of 1006512066 is 6602156001.

It is a happy number.

1006512066 is a `hidden beast` number, since 1 + 0 + 0 + 651 + 2 + 0 + 6 + 6 = 666.

It is a super-3 number, since 3×1006512066³ (a number of 28 digits) contains 333 as substring.

It is a Curzon number.

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, 1768630 + ... + 1769198.

It is an arithmetic number, because the mean of its divisors is an integer number (26453700).

Almost surely, 2^1006512066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006512066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269777600).

1006512066 is an abundant number, since it is smaller than the sum of its proper divisors (1533043134).

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

1006512066 is a wasteful number, since it uses less digits than its factorization.

1006512066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1006512066 is about 31725.5743210426. The cubic root of 1006512066 is about 1002.1659937505.

Adding to 1006512066 its reverse (6602156001), we get a palindrome (7608668067).

The spelling of 1006512066 in words is "one billion, six million, five hundred twelve thousand, sixty-six".