1001060006056 has 64 divisors (see below), whose sum is σ = 2071106614080. Its totient is φ = 449819412480.

The previous prime is 1001060005999. The next prime is 1001060006081. The reversal of 1001060006056 is 6506000601001.

1001060006056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1001060006056² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1001060006056.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7419211 + ... + 7552933.

It is an arithmetic number, because the mean of its divisors is an integer number (32361040845).

Almost surely, 2^{1001060006056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001060006056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035553307040).

1001060006056 is an abundant number, since it is smaller than the sum of its proper divisors (1070046608024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001060006056 is a wasteful number, since it uses less digits than its factorization.

1001060006056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134714 (or 134710 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 1001060006056 its reverse (6506000601001), we get a palindrome (7507060607057).

The spelling of 1001060006056 in words is "one trillion, one billion, sixty million, six thousand, fifty-six".