2793133385289 has 27 divisors (see below), whose sum is σ = 4368849039477. Its totient is φ = 1718811203616.

The previous prime is 2793133385269. The next prime is 2793133385311. The reversal of 2793133385289 is 9825833313972.

It is a happy number.

The square root of 2793133385289 is 1671267.

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

2793133385289 is a `hidden beast` number, since 2 + 7 + 9 + 3 + 13 + 338 + 5 + 289 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 375605959689 + 2417527425600 = 612867^2 + 1554840^2 .

It is not a de Polignac number, because 2793133385289 - 2⁹ = 2793133384777 is a prime.

It is a super-2 number, since 2×2793133385289² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2793133385239) 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 26 ways as a sum of consecutive naturals, for example, 65157987 + ... + 65200839.

Almost surely, 2^{2793133385289} is an apocalyptic number.

2793133385289 is the 1671267-th square number.

2793133385289 is the 835634-th centered octagonal number.

It is an amenable number.

2793133385289 is a deficient number, since it is larger than the sum of its proper divisors (1575715654188).

2793133385289 is an frugal number, since it uses more digits than its factorization.

2793133385289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85738 (or 42869 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 2793133385289 in words is "two trillion, seven hundred ninety-three billion, one hundred thirty-three million, three hundred eighty-five thousand, two hundred eighty-nine".