288681601 has 8 divisors (see below), whose sum is σ = 311356584. Its totient is φ = 266073600.

The previous prime is 288681599. The next prime is 288681623. The reversal of 288681601 is 106186882.

It can be written as a sum of positive squares in 4 ways, for example, as 35712576 + 252969025 = 5976^2 + 15905^2 .

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

It is not a de Polignac number, because 288681601 - 2¹ = 288681599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (288681691) 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, 7600 + ... + 25201.

It is an arithmetic number, because the mean of its divisors is an integer number (38919573).

Almost surely, 2^288681601 is an apocalyptic number.

It is an amenable number.

288681601 is a deficient number, since it is larger than the sum of its proper divisors (22674983).

288681601 is a wasteful number, since it uses less digits than its factorization.

288681601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33491.

The product of its (nonzero) digits is 36864, while the sum is 40.

The square root of 288681601 is about 16990.6327427792. The cubic root of 288681601 is about 660.9060108373.

The spelling of 288681601 in words is "two hundred eighty-eight million, six hundred eighty-one thousand, six hundred one".