1165006106001 has 12 divisors (see below), whose sum is σ = 1683010559412. Its totient is φ = 776567370336.

The previous prime is 1165006105957. The next prime is 1165006106029. The reversal of 1165006106001 is 1006016005611.

1165006106001 is a `hidden beast` number, since 1 + 1 + 6 + 50 + 0 + 6 + 1 + 0 + 600 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 888381651600 + 276624454401 = 942540^2 + 525951^2 .

It is not a de Polignac number, because 1165006106001 - 2¹⁷ = 1165005974929 is a prime.

It is a super-2 number, since 2×1165006106001² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1165006106071) 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, 8542506 + ... + 8677811.

It is an arithmetic number, because the mean of its divisors is an integer number (140250879951).

Almost surely, 2^{1165006106001} is an apocalyptic number.

It is an amenable number.

1165006106001 is a deficient number, since it is larger than the sum of its proper divisors (518004453411).

1165006106001 is a wasteful number, since it uses less digits than its factorization.

1165006106001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17227840 (or 17227837 counting only the distinct ones).

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

The spelling of 1165006106001 in words is "one trillion, one hundred sixty-five billion, six million, one hundred six thousand, one".