27330133319329 has 27 divisors (see below), whose sum is σ = 29210835051801. Its totient is φ = 25565309147520.

The previous prime is 27330133319327. The next prime is 27330133319369. The reversal of 27330133319329 is 92391333103372.

The square root of 27330133319329 is 5227823.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3850797899025 + 23479335420304 = 1962345^2 + 4845548^2 .

It is not a de Polignac number, because 27330133319329 - 2¹ = 27330133319327 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27330133319323) 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, 16086010522 + ... + 16086012220.

Almost surely, 2^{27330133319329} is an apocalyptic number.

27330133319329 is the 5227823-rd square number.

27330133319329 is the 2613912-nd centered octagonal number.

It is an amenable number.

27330133319329 is a deficient number, since it is larger than the sum of its proper divisors (1880701732472).

27330133319329 is an frugal number, since it uses more digits than its factorization.

27330133319329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3794 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 1653372, while the sum is 49.

The spelling of 27330133319329 in words is "twenty-seven trillion, three hundred thirty billion, one hundred thirty-three million, three hundred nineteen thousand, three hundred twenty-nine".