564381070009 has 9 divisors (see below), whose sum is σ = 577844521509. Its totient is φ = 551224376220.

The previous prime is 564381069997. The next prime is 564381070013. The reversal of 564381070009 is 900070183465.

The square root of 564381070009 is 751253.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 564381070009 - 2¹³ = 564381061817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (564381070709) 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 8 ways as a sum of consecutive naturals, for example, 32295144 + ... + 32312614.

Almost surely, 2^564381070009 is an apocalyptic number.

564381070009 is the 751253-rd square number.

564381070009 is the 375627-th centered octagonal number.

It is an amenable number.

564381070009 is a deficient number, since it is larger than the sum of its proper divisors (13463451500).

564381070009 is an frugal number, since it uses more digits than its factorization.

564381070009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35028 (or 17514 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 564381070009 in words is "five hundred sixty-four billion, three hundred eighty-one million, seventy thousand, nine".