1006082775081 has 40 divisors (see below), whose sum is σ = 1507342039104. Its totient is φ = 668748558240.

The previous prime is 1006082775059. The next prime is 1006082775169. The reversal of 1006082775081 is 1805772806001.

It is a happy number.

1006082775081 is a `hidden beast` number, since 1 + 0 + 0 + 60 + 82 + 7 + 7 + 508 + 1 = 666.

It is not a de Polignac number, because 1006082775081 - 2⁹ = 1006082774569 is a prime.

It is a super-2 number, since 2×1006082775081² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1006082775031) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38678026 + ... + 38704028.

Almost surely, 2^{1006082775081} is an apocalyptic number.

It is an amenable number.

1006082775081 is a deficient number, since it is larger than the sum of its proper divisors (501259264023).

1006082775081 is an equidigital number, since it uses as much as digits as its factorization.

1006082775081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27403 (or 27394 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 1006082775081 in words is "one trillion, six billion, eighty-two million, seven hundred seventy-five thousand, eighty-one".