1006375729 has 2 divisors, whose sum is σ = 1006375730. Its totient is φ = 1006375728.

The previous prime is 1006375687. The next prime is 1006375781. The reversal of 1006375729 is 9275736001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 939545104 + 66830625 = 30652^2 + 8175^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1006375729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1006375691 and 1006375700.

It is not a weakly prime, because it can be changed into another prime (1006375789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503187864 + 503187865.

It is an arithmetic number, because the mean of its divisors is an integer number (503187865).

Almost surely, 2^1006375729 is an apocalyptic number.

It is an amenable number.

1006375729 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006375729 is an equidigital number, since it uses as much as digits as its factorization.

1006375729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 79380, while the sum is 40.

The square root of 1006375729 is about 31723.4255558885. The cubic root of 1006375729 is about 1002.1207422728.

The spelling of 1006375729 in words is "one billion, six million, three hundred seventy-five thousand, seven hundred twenty-nine".