288112813 has 2 divisors, whose sum is σ = 288112814. Its totient is φ = 288112812.

The previous prime is 288112777. The next prime is 288112829. The reversal of 288112813 is 318211882.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198753604 + 89359209 = 14098^2 + 9453^2 .

It is a cyclic number.

It is not a de Polignac number, because 288112813 - 2⁹ = 288112301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (288112873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144056406 + 144056407.

It is an arithmetic number, because the mean of its divisors is an integer number (144056407).

Almost surely, 2^288112813 is an apocalyptic number.

It is an amenable number.

288112813 is a deficient number, since it is larger than the sum of its proper divisors (1).

288112813 is an equidigital number, since it uses as much as digits as its factorization.

288112813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6144, while the sum is 34.

The square root of 288112813 is about 16973.8862079372. The cubic root of 288112813 is about 660.4716654483.

The spelling of 288112813 in words is "two hundred eighty-eight million, one hundred twelve thousand, eight hundred thirteen".