1056001001056 has 96 divisors (see below), whose sum is σ = 2144540240640. Its totient is φ = 511686336000.

The previous prime is 1056001001039. The next prime is 1056001001059. The reversal of 1056001001056 is 6501001006501.

It is a super-2 number, since 2×1056001001056² (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 1056001001056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056001001059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31880055 + ... + 31913161.

It is an arithmetic number, because the mean of its divisors is an integer number (22338960840).

Almost surely, 2^{1056001001056} is an apocalyptic number.

1056001001056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1056001001056 is an abundant number, since it is smaller than the sum of its proper divisors (1088539239584).

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

1056001001056 is a wasteful number, since it uses less digits than its factorization.

1056001001056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33428 (or 33420 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 1056001001056 its reverse (6501001006501), we get a palindrome (7557002007557).

Subtracting 1056001001056 from its reverse (6501001006501), we obtain a palindrome (5445000005445).

The spelling of 1056001001056 in words is "one trillion, fifty-six billion, one million, one thousand, fifty-six".