288148313 has 8 divisors (see below), whose sum is σ = 293556480. Its totient is φ = 282784320.

The previous prime is 288148291. The next prime is 288148327. The reversal of 288148313 is 313841882.

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

It is a cyclic number.

It is not a de Polignac number, because 288148313 - 2²⁰ = 287099737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (288148013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2273 + ... + 24113.

It is an arithmetic number, because the mean of its divisors is an integer number (36694560).

Almost surely, 2^288148313 is an apocalyptic number.

It is an amenable number.

288148313 is a deficient number, since it is larger than the sum of its proper divisors (5408167).

288148313 is a wasteful number, since it uses less digits than its factorization.

288148313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22087.

The product of its digits is 36864, while the sum is 38.

The square root of 288148313 is about 16974.9318997161. The cubic root of 288148313 is about 660.4987911437.

The spelling of 288148313 in words is "two hundred eighty-eight million, one hundred forty-eight thousand, three hundred thirteen".