1006828709 has 2 divisors, whose sum is σ = 1006828710. Its totient is φ = 1006828708.

The previous prime is 1006828679. The next prime is 1006828717. The reversal of 1006828709 is 9078286001.

1006828709 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 509404900 + 497423809 = 22570^2 + 22303^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1006828709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006828769) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503414354 + 503414355.

It is an arithmetic number, because the mean of its divisors is an integer number (503414355).

Almost surely, 2^1006828709 is an apocalyptic number.

It is an amenable number.

1006828709 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006828709 is an equidigital number, since it uses as much as digits as its factorization.

1006828709 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 1006828709 is about 31730.5642716924. The cubic root of 1006828709 is about 1002.2710746487.

The spelling of 1006828709 in words is "one billion, six million, eight hundred twenty-eight thousand, seven hundred nine".