564305503465 has 16 divisors (see below), whose sum is σ = 756744944256. Its totient is φ = 400394147200.

The previous prime is 564305503459. The next prime is 564305503471.

564305503465 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (564305503459) and next prime (564305503471).

It is not a de Polignac number, because 564305503465 - 2¹⁹ = 564304979177 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 125120917 + ... + 125125426.

It is an arithmetic number, because the mean of its divisors is an integer number (47296559016).

Almost surely, 2^564305503465 is an apocalyptic number.

564305503465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

564305503465 is a deficient number, since it is larger than the sum of its proper divisors (192439440791).

564305503465 is a wasteful number, since it uses less digits than its factorization.

564305503465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250246400.

The product of its (nonzero) digits is 3240000, while the sum is 46.

The spelling of 564305503465 in words is "five hundred sixty-four billion, three hundred five million, five hundred three thousand, four hundred sixty-five".