288085313 has 2 divisors, whose sum is σ = 288085314. Its totient is φ = 288085312.

The previous prime is 288085297. The next prime is 288085339. The reversal of 288085313 is 313580882.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 285339664 + 2745649 = 16892^2 + 1657^2 .

It is a cyclic number.

It is not a de Polignac number, because 288085313 - 2⁴ = 288085297 is a prime.

It is not a weakly prime, because it can be changed into another prime (288085013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144042656 + 144042657.

It is an arithmetic number, because the mean of its divisors is an integer number (144042657).

Almost surely, 2^288085313 is an apocalyptic number.

It is an amenable number.

288085313 is a deficient number, since it is larger than the sum of its proper divisors (1).

288085313 is an equidigital number, since it uses as much as digits as its factorization.

288085313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 288085313 is about 16973.0761207272. The cubic root of 288085313 is about 660.4506510541.

The spelling of 288085313 in words is "two hundred eighty-eight million, eighty-five thousand, three hundred thirteen".