4528073317329 has 27 divisors (see below), whose sum is σ = 6556198856337. Its totient is φ = 3011510384064.

The previous prime is 4528073317291. The next prime is 4528073317333. The reversal of 4528073317329 is 9237133708254.

It is a happy number.

The square root of 4528073317329 is 2127927.

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

4528073317329 is a `hidden beast` number, since 4 + 5 + 280 + 7 + 3 + 31 + 7 + 329 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 804022468929 + 3724050848400 = 896673^2 + 1929780^2 .

It is not a de Polignac number, because 4528073317329 - 2²¹ = 4528071220177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4528073357329) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4832521749 + ... + 4832522685.

Almost surely, 2^{4528073317329} is an apocalyptic number.

4528073317329 is the 2127927-th square number.

4528073317329 is the 1063964-th centered octagonal number.

It is an amenable number.

4528073317329 is a deficient number, since it is larger than the sum of its proper divisors (2028125539008).

4528073317329 is an frugal number, since it uses more digits than its factorization.

4528073317329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3394 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 4528073317329 in words is "four trillion, five hundred twenty-eight billion, seventy-three million, three hundred seventeen thousand, three hundred twenty-nine".