1026564001 has 4 divisors (see below), whose sum is σ = 1054309012. Its totient is φ = 998818992.

The previous prime is 1026563957. The next prime is 1026564047. The reversal of 1026564001 is 1004656201.

1026564001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 1004656201 = 947 ⋅1060883.

It can be written as a sum of positive squares in 2 ways, for example, as 919544976 + 107019025 = 30324^2 + 10345^2 .

It is a cyclic number.

It is not a de Polignac number, because 1026564001 - 2⁷ = 1026563873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1026564061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13872450 + ... + 13872523.

It is an arithmetic number, because the mean of its divisors is an integer number (263577253).

Almost surely, 2^1026564001 is an apocalyptic number.

It is an amenable number.

1026564001 is a deficient number, since it is larger than the sum of its proper divisors (27745011).

1026564001 is an equidigital number, since it uses as much as digits as its factorization.

1026564001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27745010.

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 1026564001 is about 32040.0374687671. The cubic root of 1026564001 is about 1008.7773988577. Note that the first 3 decimals are identical.

The spelling of 1026564001 in words is "one billion, twenty-six million, five hundred sixty-four thousand, one".