10001006849 has 2 divisors, whose sum is σ = 10001006850. Its totient is φ = 10001006848.

The previous prime is 10001006819. The next prime is 10001006881. The reversal of 10001006849 is 94860010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6982273600 + 3018733249 = 83560^2 + 54943^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001006849 - 2⁸ = 10001006593 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10001006819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000503424 + 5000503425.

It is an arithmetic number, because the mean of its divisors is an integer number (5000503425).

Almost surely, 2^10001006849 is an apocalyptic number.

It is an amenable number.

10001006849 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001006849 is an equidigital number, since it uses as much as digits as its factorization.

10001006849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 10001006849 in words is "ten billion, one million, six thousand, eight hundred forty-nine".