564245521501320 has 96 divisors (see below), whose sum is σ = 1840323916543320. Its totient is φ = 149930008058880.

The previous prime is 564245521501309. The next prime is 564245521501331. The reversal of 564245521501320 is 23105125542465.

564245521501320 is a `hidden beast` number, since 5 + 6 + 4 + 2 + 45 + 521 + 50 + 1 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (564245521501309) and next prime (564245521501331).

It can be written as a sum of positive squares in 4 ways, for example, as 382264827940836 + 181980693560484 = 19551594^2 + 13490022^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2788775479 + ... + 2788977798.

Almost surely, 2^{564245521501320} is an apocalyptic number.

It is an amenable number.

564245521501320 is an abundant number, since it is smaller than the sum of its proper divisors (1276078395042000).

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

564245521501320 is a wasteful number, since it uses less digits than its factorization.

564245521501320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5577753575 (or 5577753568 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 564245521501320 in words is "five hundred sixty-four trillion, two hundred forty-five billion, five hundred twenty-one million, five hundred one thousand, three hundred twenty".