288805253 has 8 divisors (see below), whose sum is σ = 315194976. Its totient is φ = 262438000.

The previous prime is 288805247. The next prime is 288805303. The reversal of 288805253 is 352508882.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 288805253 - 2¹⁴ = 288788869 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 288805253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288805213) 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 7 ways as a sum of consecutive naturals, for example, 32603 + ... + 40503.

It is an arithmetic number, because the mean of its divisors is an integer number (39399372).

Almost surely, 2^288805253 is an apocalyptic number.

It is an amenable number.

288805253 is a deficient number, since it is larger than the sum of its proper divisors (26389723).

288805253 is a wasteful number, since it uses less digits than its factorization.

288805253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11235.

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

The square root of 288805253 is about 16994.2711817836. The cubic root of 288805253 is about 661.0003600954. Note that the first 3 decimals are identical.

The spelling of 288805253 in words is "two hundred eighty-eight million, eight hundred five thousand, two hundred fifty-three".