1056582811845 has 192 divisors, whose sum is σ = 2091245764608. Its totient is φ = 507523968000.

The previous prime is 1056582811793. The next prime is 1056582811847. The reversal of 1056582811845 is 5481182856501.

It is a happy number.

1056582811845 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 582 + 8 + 1 + 18 + 45 = 666.

It is not a de Polignac number, because 1056582811845 - 2⁸ = 1056582811589 is a prime.

It is a super-2 number, since 2×1056582811845² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1056582811791 and 1056582811800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056582811847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 718274460 + ... + 718275930.

It is an arithmetic number, because the mean of its divisors is an integer number (10891905024).

Almost surely, 2^{1056582811845} is an apocalyptic number.

1056582811845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1056582811845 is a deficient number, since it is larger than the sum of its proper divisors (1034662952763).

1056582811845 is a wasteful number, since it uses less digits than its factorization.

1056582811845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 54.

The spelling of 1056582811845 in words is "one trillion, fifty-six billion, five hundred eighty-two million, eight hundred eleven thousand, eight hundred forty-five".