564605546505 has 512 divisors, whose sum is σ = 1328198860800. Its totient is φ = 197074944000.

The previous prime is 564605546501. The next prime is 564605546537. The reversal of 564605546505 is 505645506465.

It is not a de Polignac number, because 564605546505 - 2² = 564605546501 is a prime.

It is not an unprimeable number, because it can be changed into a prime (564605546501) by changing a digit.

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 511 ways as a sum of consecutive naturals, for example, 939443205 + ... + 939443805.

It is an arithmetic number, because the mean of its divisors is an integer number (2594138400).

Almost surely, 2^564605546505 is an apocalyptic number.

564605546505 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

564605546505 is an abundant number, since it is smaller than the sum of its proper divisors (763593314295).

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

564605546505 is a wasteful number, since it uses less digits than its factorization.

564605546505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785.

The product of its (nonzero) digits is 10800000, while the sum is 51.

The spelling of 564605546505 in words is "five hundred sixty-four billion, six hundred five million, five hundred forty-six thousand, five hundred five".