564165315 has 96 divisors (see below), whose sum is σ = 1193512320. Its totient is φ = 240648192.

The previous prime is 564165313. The next prime is 564165317. The reversal of 564165315 is 513561465.

564165315 is a `hidden beast` number, since 5 + 641 + 6 + 5 + 3 + 1 + 5 = 666.

564165315 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (564165313) and next prime (564165317).

It is not a de Polignac number, because 564165315 - 2¹ = 564165313 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 564165315.

It is not an unprimeable number, because it can be changed into a prime (564165313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 733251 + ... + 734019.

It is an arithmetic number, because the mean of its divisors is an integer number (12432420).

Almost surely, 2^564165315 is an apocalyptic number.

564165315 is an abundant number, since it is smaller than the sum of its proper divisors (629347005).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

564165315 is a wasteful number, since it uses less digits than its factorization.

564165315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 938 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 564165315 is about 23752.1644276895. The cubic root of 564165315 is about 826.2956391015.

The spelling of 564165315 in words is "five hundred sixty-four million, one hundred sixty-five thousand, three hundred fifteen".