564225522465 has 128 divisors (see below), whose sum is σ = 1061569400832. Its totient is φ = 253115089920.

The previous prime is 564225522449. The next prime is 564225522533.

564225522465 is nontrivially palindromic in base 10.

564225522465 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 564225522465 - 2⁴ = 564225522449 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24280182 + ... + 24303408.

It is an arithmetic number, because the mean of its divisors is an integer number (8293510944).

Almost surely, 2^564225522465 is an apocalyptic number.

564225522465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

564225522465 is a deficient number, since it is larger than the sum of its proper divisors (497343878367).

564225522465 is a wasteful number, since it uses less digits than its factorization.

564225522465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23479.

The product of its digits is 5760000, while the sum is 48.

The spelling of 564225522465 in words is "five hundred sixty-four billion, two hundred twenty-five million, five hundred twenty-two thousand, four hundred sixty-five".