288540253 has 4 divisors (see below), whose sum is σ = 288576288. Its totient is φ = 288504220.

The previous prime is 288540223. The next prime is 288540271. The reversal of 288540253 is 352045882.

288540253 is a nontrivial binomial coefficient, being equal to C(24023, 2).

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 288540253 - 2¹³ = 288532061 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288540223) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1 + ... + 24022.

It is an arithmetic number, because the mean of its divisors is an integer number (72144072).

Almost surely, 2^288540253 is an apocalyptic number.

288540253 is the 24022-nd triangular number.

288540253 is the 8008-th centered nonagonal number.

It is an amenable number.

288540253 is a deficient number, since it is larger than the sum of its proper divisors (36035).

288540253 is a wasteful number, since it uses less digits than its factorization.

288540253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36034.

The product of its (nonzero) digits is 76800, while the sum is 37.

The square root of 288540253 is about 16986.4726473744. The cubic root of 288540253 is about 660.7981261257.

The spelling of 288540253 in words is "two hundred eighty-eight million, five hundred forty thousand, two hundred fifty-three".