288288253 has 16 divisors (see below), whose sum is σ = 321926400. Its totient is φ = 255935680.

The previous prime is 288288181. The next prime is 288288269. The reversal of 288288253 is 352882882.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-288288253 is a prime.

It is a super-2 number, since 2×288288253² = 166220233635584018, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288288283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138303 + ... + 140371.

It is an arithmetic number, because the mean of its divisors is an integer number (20120400).

Almost surely, 2^288288253 is an apocalyptic number.

It is an amenable number.

288288253 is a deficient number, since it is larger than the sum of its proper divisors (33638147).

288288253 is a wasteful number, since it uses less digits than its factorization.

288288253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372.

The product of its digits is 491520, while the sum is 46.

The square root of 288288253 is about 16979.0533599491. The cubic root of 288288253 is about 660.6056981747.

The spelling of 288288253 in words is "two hundred eighty-eight million, two hundred eighty-eight thousand, two hundred fifty-three".