1006000729 has 2 divisors, whose sum is σ = 1006000730. Its totient is φ = 1006000728.

The previous prime is 1006000673. The next prime is 1006000777. The reversal of 1006000729 is 9270006001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 914760025 + 91240704 = 30245^2 + 9552^2 .

It is an emirp because it is prime and its reverse (9270006001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1006000729 - 2¹⁵ = 1005967961 is a prime.

It is not a weakly prime, because it can be changed into another prime (1006000529) 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, 503000364 + 503000365.

It is an arithmetic number, because the mean of its divisors is an integer number (503000365).

Almost surely, 2^1006000729 is an apocalyptic number.

It is an amenable number.

1006000729 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006000729 is an equidigital number, since it uses as much as digits as its factorization.

1006000729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 1006000729 is about 31717.5145463827. The cubic root of 1006000729 is about 1001.9962553130.

The spelling of 1006000729 in words is "one billion, six million, seven hundred twenty-nine", and thus it is an aban number.