165071000205 has 12 divisors (see below), whose sum is σ = 286123067100. Its totient is φ = 88037866752.

The previous prime is 165071000197. The next prime is 165071000209. The reversal of 165071000205 is 502000170561.

165071000205 is a `hidden beast` number, since 1 + 650 + 7 + 1 + 0 + 0 + 0 + 2 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61014434121 + 104056566084 = 247011^2 + 322578^2 .

It is not a de Polignac number, because 165071000205 - 2³ = 165071000197 is a prime.

It is a super-2 number, since 2×165071000205² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165071000209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1834122180 + ... + 1834122269.

It is an arithmetic number, because the mean of its divisors is an integer number (23843588925).

Almost surely, 2^165071000205 is an apocalyptic number.

165071000205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165071000205 is a deficient number, since it is larger than the sum of its proper divisors (121052066895).

165071000205 is a wasteful number, since it uses less digits than its factorization.

165071000205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3668244460 (or 3668244457 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

Adding to 165071000205 its reverse (502000170561), we get a palindrome (667071170766).

The spelling of 165071000205 in words is "one hundred sixty-five billion, seventy-one million, two hundred five", and thus it is an aban number.