288148013 has 2 divisors, whose sum is σ = 288148014. Its totient is φ = 288148012.

The previous prime is 288147991. The next prime is 288148037. The reversal of 288148013 is 310841882.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 243765769 + 44382244 = 15613^2 + 6662^2 .

It is a cyclic number.

It is not a de Polignac number, because 288148013 - 2¹² = 288143917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (288148093) 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, 144074006 + 144074007.

It is an arithmetic number, because the mean of its divisors is an integer number (144074007).

Almost surely, 2^288148013 is an apocalyptic number.

It is an amenable number.

288148013 is a deficient number, since it is larger than the sum of its proper divisors (1).

288148013 is an equidigital number, since it uses as much as digits as its factorization.

288148013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 288148013 is about 16974.9230631541. The cubic root of 288148013 is about 660.4985619218.

Adding to 288148013 its reverse (310841882), we get a palindrome (598989895).

The spelling of 288148013 in words is "two hundred eighty-eight million, one hundred forty-eight thousand, thirteen".