1328564527009 has 8 divisors (see below), whose sum is σ = 1334760633000. Its totient is φ = 1322371852032.

The previous prime is 1328564526931. The next prime is 1328564527021. The reversal of 1328564527009 is 9007254658231.

It can be written as a sum of positive squares in 4 ways, for example, as 585382600609 + 743181926400 = 765103^2 + 862080^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1328564527009 - 2²³ = 1328556138401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1328564527039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79864 + ... + 1632025.

It is an arithmetic number, because the mean of its divisors is an integer number (166845079125).

It is a 1-persistent number, because it is pandigital, but 2⋅1328564527009 = 2657129054018 is not.

Almost surely, 2^{1328564527009} is an apocalyptic number.

It is an amenable number.

1328564527009 is a deficient number, since it is larger than the sum of its proper divisors (6196105991).

1328564527009 is a wasteful number, since it uses less digits than its factorization.

1328564527009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715507.

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 1328564527009 in words is "one trillion, three hundred twenty-eight billion, five hundred sixty-four million, five hundred twenty-seven thousand, nine".