288316513 has 2 divisors, whose sum is σ = 288316514. Its totient is φ = 288316512.

The previous prime is 288316487. The next prime is 288316537. The reversal of 288316513 is 315613882.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 223562304 + 64754209 = 14952^2 + 8047^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-288316513 is a prime.

It is not a weakly prime, because it can be changed into another prime (288316313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144158256 + 144158257.

It is an arithmetic number, because the mean of its divisors is an integer number (144158257).

Almost surely, 2^288316513 is an apocalyptic number.

It is an amenable number.

288316513 is a deficient number, since it is larger than the sum of its proper divisors (1).

288316513 is an equidigital number, since it uses as much as digits as its factorization.

288316513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 34560, while the sum is 37.

The square root of 288316513 is about 16979.8855414281. The cubic root of 288316513 is about 660.6272831761.

It can be divided in two parts, 28831 and 6513, that added together give a square (35344 = 188²).

The spelling of 288316513 in words is "two hundred eighty-eight million, three hundred sixteen thousand, five hundred thirteen".