288883123513 has 2 divisors, whose sum is σ = 288883123514. Its totient is φ = 288883123512.

The previous prime is 288883123429. The next prime is 288883123531. The reversal of 288883123513 is 315321388882.

Together with next prime (288883123531) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 287421437689 + 1461685824 = 536117^2 + 38232^2 .

It is a cyclic number.

It is not a de Polignac number, because 288883123513 - 2³⁷ = 151444170041 is a prime.

It is a super-2 number, since 2×288883123513² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (288883123013) by changing a digit.

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 as a sum of consecutive naturals, namely, 144441561756 + 144441561757.

It is an arithmetic number, because the mean of its divisors is an integer number (144441561757).

Almost surely, 2^288883123513 is an apocalyptic number.

It is an amenable number.

288883123513 is a deficient number, since it is larger than the sum of its proper divisors (1).

288883123513 is an equidigital number, since it uses as much as digits as its factorization.

288883123513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2211840, while the sum is 52.

The spelling of 288883123513 in words is "two hundred eighty-eight billion, eight hundred eighty-three million, one hundred twenty-three thousand, five hundred thirteen".