311068330225 has 27 divisors (see below), whose sum is σ = 388045040481. Its totient is φ = 247366627200.

The previous prime is 311068330213. The next prime is 311068330247. The reversal of 311068330225 is 522033860113.

The square root of 311068330225 is 557735.

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 43071606369 + 267996723856 = 207537^2 + 517684^2 .

It is not a de Polignac number, because 311068330225 - 2⁵ = 311068330193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 923051257 + ... + 923051593.

Almost surely, 2^311068330225 is an apocalyptic number.

311068330225 is the 557735-th square number.

311068330225 is the 278868-th centered octagonal number.

It is an amenable number.

311068330225 is a deficient number, since it is larger than the sum of its proper divisors (76976710256).

311068330225 is an frugal number, since it uses more digits than its factorization.

311068330225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 311068330225 in words is "three hundred eleven billion, sixty-eight million, three hundred thirty thousand, two hundred twenty-five".