264824481321 has 15 divisors (see below), whose sum is σ = 395608921741. Its totient is φ = 176546566548.

The previous prime is 264824481301. The next prime is 264824481359. The reversal of 264824481321 is 123184428462.

The square root of 264824481321 is 514611.

It is a perfect power (a square), and thus also a powerful number.

264824481321 is a `hidden beast` number, since 2 + 6 + 4 + 8 + 244 + 81 + 321 = 666.

264824481321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 264824481321 - 2¹⁷ = 264824350249 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (264824481301) 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 14 ways as a sum of consecutive naturals, for example, 4602910 + ... + 4660088.

Almost surely, 2^264824481321 is an apocalyptic number.

264824481321 is the 514611-st square number.

264824481321 is the 257306-th centered octagonal number.

It is an amenable number.

264824481321 is a deficient number, since it is larger than the sum of its proper divisors (130784440420).

264824481321 is an frugal number, since it uses more digits than its factorization.

264824481321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114370 (or 57182 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The spelling of 264824481321 in words is "two hundred sixty-four billion, eight hundred twenty-four million, four hundred eighty-one thousand, three hundred twenty-one".