1001011605066 has 96 divisors (see below), whose sum is σ = 2448412686720. Its totient is φ = 292781462400.

The previous prime is 1001011605059. The next prime is 1001011605107. The reversal of 1001011605066 is 6605061101001.

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, 18651931 + ... + 18705521.

It is an arithmetic number, because the mean of its divisors is an integer number (25504298820).

Almost surely, 2^{1001011605066} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001011605066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224206343360).

1001011605066 is an abundant number, since it is smaller than the sum of its proper divisors (1447401081654).

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

1001011605066 is a wasteful number, since it uses less digits than its factorization.

1001011605066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56892 (or 56889 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 1001011605066 its reverse (6605061101001), we get a palindrome (7606072706067).

The spelling of 1001011605066 in words is "one trillion, one billion, eleven million, six hundred five thousand, sixty-six".