288852305 has 20 divisors (see below), whose sum is σ = 404385972. Its totient is φ = 198061920.

The previous prime is 288852301. The next prime is 288852329. The reversal of 288852305 is 503258882.

It can be written as a sum of positive squares in 2 ways, for example, as 221890816 + 66961489 = 14896^2 + 8183^2 .

It is not a de Polignac number, because 288852305 - 2² = 288852301 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (288852301) 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 in 19 ways as a sum of consecutive naturals, for example, 26 + ... + 24035.

Almost surely, 2^288852305 is an apocalyptic number.

It is an amenable number.

288852305 is a deficient number, since it is larger than the sum of its proper divisors (115533667).

288852305 is an frugal number, since it uses more digits than its factorization.

288852305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24094 (or 24073 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 41.

The square root of 288852305 is about 16995.6554742675. The cubic root of 288852305 is about 661.0362547566.

The spelling of 288852305 in words is "two hundred eighty-eight million, eight hundred fifty-two thousand, three hundred five".