199584129281 has 2 divisors, whose sum is σ = 199584129282. Its totient is φ = 199584129280.

The previous prime is 199584129263. The next prime is 199584129299. The reversal of 199584129281 is 182921485991.

It is a balanced prime because it is at equal distance from previous prime (199584129263) and next prime (199584129299).

It can be written as a sum of positive squares in only one way, i.e., 129672010000 + 69912119281 = 360100^2 + 264409^2 .

It is an emirp because it is prime and its reverse (182921485991) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 199584129281 - 2¹⁸ = 199583867137 is a prime.

It is a super-2 number, since 2×199584129281² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 199584129281.

It is not a weakly prime, because it can be changed into another prime (199584125281) 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, 99792064640 + 99792064641.

It is an arithmetic number, because the mean of its divisors is an integer number (99792064641).

Almost surely, 2^199584129281 is an apocalyptic number.

It is an amenable number.

199584129281 is a deficient number, since it is larger than the sum of its proper divisors (1).

199584129281 is an equidigital number, since it uses as much as digits as its factorization.

199584129281 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3732480, while the sum is 59.

The spelling of 199584129281 in words is "one hundred ninety-nine billion, five hundred eighty-four million, one hundred twenty-nine thousand, two hundred eighty-one".