288314313 has 16 divisors (see below), whose sum is σ = 439929216. Its totient is φ = 164528640.

The previous prime is 288314293. The next prime is 288314321. The reversal of 288314313 is 313413882.

It is not a de Polignac number, because 288314313 - 2⁵ = 288314281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (288314393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7353 + ... + 25113.

It is an arithmetic number, because the mean of its divisors is an integer number (27495576).

Almost surely, 2^288314313 is an apocalyptic number.

It is an amenable number.

288314313 is a deficient number, since it is larger than the sum of its proper divisors (151614903).

288314313 is a wasteful number, since it uses less digits than its factorization.

288314313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18544.

The product of its digits is 13824, while the sum is 33.

The square root of 288314313 is about 16979.8207587713. The cubic root of 288314313 is about 660.6256028657.

The spelling of 288314313 in words is "two hundred eighty-eight million, three hundred fourteen thousand, three hundred thirteen".