288810093313 has 24 divisors (see below), whose sum is σ = 365052952320. Its totient is φ = 226957217760.

The previous prime is 288810093259. The next prime is 288810093343. The reversal of 288810093313 is 313390018882.

It is not a de Polignac number, because 288810093313 - 2¹³ = 288810085121 is a prime.

It is a super-2 number, since 2×288810093313² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (288810093343) 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 in 23 ways as a sum of consecutive naturals, for example, 4974606 + ... + 5032327.

It is an arithmetic number, because the mean of its divisors is an integer number (15210539680).

Almost surely, 2^288810093313 is an apocalyptic number.

It is an amenable number.

288810093313 is a deficient number, since it is larger than the sum of its proper divisors (76242859007).

288810093313 is a wasteful number, since it uses less digits than its factorization.

288810093313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10006997 (or 10006990 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 288810093313 in words is "two hundred eighty-eight billion, eight hundred ten million, ninety-three thousand, three hundred thirteen".