1006056110601 has 12 divisors (see below), whose sum is σ = 1454209107780. Its totient is φ = 670234713120.

The previous prime is 1006056110581. The next prime is 1006056110659. The reversal of 1006056110601 is 1060116506001.

1006056110601 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 0 + 56 + 1 + 1 + 0 + 601 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 245455839225 + 760600271376 = 495435^2 + 872124^2 .

It is not a de Polignac number, because 1006056110601 - 2¹¹ = 1006056108553 is a prime.

It is a super-2 number, since 2×1006056110601² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1006056110681) 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, 39099810 + ... + 39125531.

It is an arithmetic number, because the mean of its divisors is an integer number (121184092315).

Almost surely, 2^{1006056110601} is an apocalyptic number.

It is an amenable number.

1006056110601 is a deficient number, since it is larger than the sum of its proper divisors (448152997179).

1006056110601 is a wasteful number, since it uses less digits than its factorization.

1006056110601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78226776 (or 78226773 counting only the distinct ones).

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

The spelling of 1006056110601 in words is "one trillion, six billion, fifty-six million, one hundred ten thousand, six hundred one".