1006287082289 has 2 divisors, whose sum is σ = 1006287082290. Its totient is φ = 1006287082288.

The previous prime is 1006287082259. The next prime is 1006287082343. The reversal of 1006287082289 is 9822807826001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 985635955264 + 20651127025 = 992792^2 + 143705^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006287082289 - 2⁸ = 1006287082033 is a prime.

It is a super-2 number, since 2×1006287082289² (a number of 25 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 1006287082289.

It is not a weakly prime, because it can be changed into another prime (1006287082219) 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, 503143541144 + 503143541145.

It is an arithmetic number, because the mean of its divisors is an integer number (503143541145).

Almost surely, 2^{1006287082289} is an apocalyptic number.

It is an amenable number.

1006287082289 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006287082289 is an equidigital number, since it uses as much as digits as its factorization.

1006287082289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1548288, while the sum is 53.

The spelling of 1006287082289 in words is "one trillion, six billion, two hundred eighty-seven million, eighty-two thousand, two hundred eighty-nine".