264528148329 has 63 divisors (see below), whose sum is σ = 406967454957. Its totient is φ = 171862059096.

The previous prime is 264528148319. The next prime is 264528148349. The reversal of 264528148329 is 923841825462.

The square root of 264528148329 is 514323.

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

264528148329 is a `hidden beast` number, since 2 + 6 + 4 + 528 + 14 + 83 + 29 = 666.

It is not a de Polignac number, because 264528148329 - 2³¹ = 262380664681 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (264528148319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 597128782 + ... + 597129224.

Almost surely, 2^264528148329 is an apocalyptic number.

264528148329 is the 514323-rd square number.

264528148329 is the 257162-nd centered octagonal number.

It is an amenable number.

264528148329 is a deficient number, since it is larger than the sum of its proper divisors (142439306628).

264528148329 is an frugal number, since it uses more digits than its factorization.

264528148329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 489 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 264528148329 in words is "two hundred sixty-four billion, five hundred twenty-eight million, one hundred forty-eight thousand, three hundred twenty-nine".