1065166166061 has 20 divisors (see below), whose sum is σ = 1601309035612. Its totient is φ = 705587770368.

The previous prime is 1065166166027. The next prime is 1065166166089. The reversal of 1065166166061 is 1606616615601.

1065166166061 is a `hidden beast` number, since 1 + 0 + 6 + 516 + 6 + 16 + 60 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 228956508036 + 836209658025 = 478494^2 + 914445^2 .

It is not a de Polignac number, because 1065166166061 - 2²⁵ = 1065132611629 is a prime.

It is a super-2 number, since 2×1065166166061² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1065166165998 and 1065166166016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1065166166161) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41866900 + ... + 41892333.

Almost surely, 2^{1065166166061} is an apocalyptic number.

It is an amenable number.

1065166166061 is a deficient number, since it is larger than the sum of its proper divisors (536142869551).

1065166166061 is an equidigital number, since it uses as much as digits as its factorization.

1065166166061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83759402 (or 83759393 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 1065166166061 in words is "one trillion, sixty-five billion, one hundred sixty-six million, one hundred sixty-six thousand, sixty-one".