115005582337 has 2 divisors, whose sum is σ = 115005582338. Its totient is φ = 115005582336.

The previous prime is 115005582331. The next prime is 115005582347. The reversal of 115005582337 is 733285500511.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111692313616 + 3313268721 = 334204^2 + 57561^2 .

It is a cyclic number.

It is not a de Polignac number, because 115005582337 - 2¹¹ = 115005580289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 115005582337.

It is not a weakly prime, because it can be changed into another prime (115005582331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57502791168 + 57502791169.

It is an arithmetic number, because the mean of its divisors is an integer number (57502791169).

Almost surely, 2^115005582337 is an apocalyptic number.

It is an amenable number.

115005582337 is a deficient number, since it is larger than the sum of its proper divisors (1).

115005582337 is an equidigital number, since it uses as much as digits as its factorization.

115005582337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126000, while the sum is 40.

The spelling of 115005582337 in words is "one hundred fifteen billion, five million, five hundred eighty-two thousand, three hundred thirty-seven".