264817348561 has 8 divisors (see below), whose sum is σ = 280630665000. Its totient is φ = 249449477760.

The previous prime is 264817348529. The next prime is 264817348573. The reversal of 264817348561 is 165843718462.

264817348561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 53879230161 + 210938118400 = 232119^2 + 459280^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 264817348561 - 2⁵ = 264817348529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (264817348501) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 111360186 + ... + 111362563.

It is an arithmetic number, because the mean of its divisors is an integer number (35078833125).

Almost surely, 2^264817348561 is an apocalyptic number.

It is an amenable number.

264817348561 is a deficient number, since it is larger than the sum of its proper divisors (15813316439).

264817348561 is a wasteful number, since it uses less digits than its factorization.

264817348561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222722819.

The product of its digits is 7741440, while the sum is 55.

The spelling of 264817348561 in words is "two hundred sixty-four billion, eight hundred seventeen million, three hundred forty-eight thousand, five hundred sixty-one".