288009041 has 2 divisors, whose sum is σ = 288009042. Its totient is φ = 288009040.

The previous prime is 288009037. The next prime is 288009061. The reversal of 288009041 is 140900882.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 253446400 + 34562641 = 15920^2 + 5879^2 .

It is a cyclic number.

It is not a de Polignac number, because 288009041 - 2² = 288009037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 288008989 and 288009007.

It is not a weakly prime, because it can be changed into another prime (288009061) 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 as a sum of consecutive naturals, namely, 144004520 + 144004521.

It is an arithmetic number, because the mean of its divisors is an integer number (144004521).

Almost surely, 2^288009041 is an apocalyptic number.

It is an amenable number.

288009041 is a deficient number, since it is larger than the sum of its proper divisors (1).

288009041 is an equidigital number, since it uses as much as digits as its factorization.

288009041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 288009041 is about 16970.8291194037. The cubic root of 288009041 is about 660.3923600595.

The spelling of 288009041 in words is "two hundred eighty-eight million, nine thousand, forty-one".