1006165161 has 24 divisors (see below), whose sum is σ = 1496383304. Its totient is φ = 651006720.

The previous prime is 1006165141. The next prime is 1006165183. The reversal of 1006165161 is 1615616001.

1006165161 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 1 + 651 + 6 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 252333225 + 753831936 = 15885^2 + 27456^2 .

It is not a de Polignac number, because 1006165161 - 2¹⁷ = 1006034089 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1006165141) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 136605 + ... + 143781.

Almost surely, 2^1006165161 is an apocalyptic number.

It is an amenable number.

1006165161 is a deficient number, since it is larger than the sum of its proper divisors (490218143).

1006165161 is a wasteful number, since it uses less digits than its factorization.

1006165161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7641 (or 7638 counting only the distinct ones).

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

The square root of 1006165161 is about 31720.1065729609. The cubic root of 1006165161 is about 1002.0508448269.

The spelling of 1006165161 in words is "one billion, six million, one hundred sixty-five thousand, one hundred sixty-one".