1056564526561 has 4 divisors (see below), whose sum is σ = 1056570212032. Its totient is φ = 1056558841092.

The previous prime is 1056564526547. The next prime is 1056564526571. The reversal of 1056564526561 is 1656254656501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1056564526561 - 2¹⁵ = 1056564493793 is a prime.

It is a super-2 number, since 2×1056564526561² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1056564526499 and 1056564526508.

It is not an unprimeable number, because it can be changed into a prime (1056564526571) 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 3 ways as a sum of consecutive naturals, for example, 2554221 + ... + 2938906.

It is an arithmetic number, because the mean of its divisors is an integer number (264142553008).

Almost surely, 2^{1056564526561} is an apocalyptic number.

It is an amenable number.

1056564526561 is a deficient number, since it is larger than the sum of its proper divisors (5685471).

1056564526561 is an equidigital number, since it uses as much as digits as its factorization.

1056564526561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5685470.

The product of its (nonzero) digits is 6480000, while the sum is 52.

The spelling of 1056564526561 in words is "one trillion, fifty-six billion, five hundred sixty-four million, five hundred twenty-six thousand, five hundred sixty-one".