288001001 has 8 divisors (see below), whose sum is σ = 298216200. Its totient is φ = 277804800.

The previous prime is 288000983. The next prime is 288001027. The reversal of 288001001 is 100100882.

It can be written as a sum of positive squares in 4 ways, for example, as 22278400 + 265722601 = 4720^2 + 16301^2 .

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 288001001 - 2¹⁰ = 287999977 is a prime.

It is a cake number, because a cake can be divided into 288001001 parts by 1200 planar cuts.

It is a Duffinian number.

288001001 is a modest number, since divided by 1001 gives 288 as remainder.

It is not an unprimeable number, because it can be changed into a prime (288000001) 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, 30695 + ... + 38963.

It is an arithmetic number, because the mean of its divisors is an integer number (37277025).

Almost surely, 2^288001001 is an apocalyptic number.

It is an amenable number.

288001001 is a deficient number, since it is larger than the sum of its proper divisors (10215199).

288001001 is a wasteful number, since it uses less digits than its factorization.

288001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9499.

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 288001001 is about 16970.5922406968. The cubic root of 288001001 is about 660.3862148774.

Adding to 288001001 its reverse (100100882), we get a palindrome (388101883).

The spelling of 288001001 in words is "two hundred eighty-eight million, one thousand, one".