1006111665 has 64 divisors (see below), whose sum is σ = 1988474880. Its totient is φ = 479312640.

The previous prime is 1006111661. The next prime is 1006111679. The reversal of 1006111665 is 5661116001.

It is not a de Polignac number, because 1006111665 - 2² = 1006111661 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1006111661) 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 63 ways as a sum of consecutive naturals, for example, 45159 + ... + 63651.

It is an arithmetic number, because the mean of its divisors is an integer number (31069920).

Almost surely, 2^1006111665 is an apocalyptic number.

1006111665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1006111665 is a deficient number, since it is larger than the sum of its proper divisors (982363215).

1006111665 is a wasteful number, since it uses less digits than its factorization.

1006111665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18551 (or 18545 counting only the distinct ones).

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

The square root of 1006111665 is about 31719.2633111174. The cubic root of 1006111665 is about 1002.0330854291.

Adding to 1006111665 its reverse (5661116001), we get a palindrome (6667227666).

The spelling of 1006111665 in words is "one billion, six million, one hundred eleven thousand, six hundred sixty-five".