6829075273 has 2 divisors, whose sum is σ = 6829075274. Its totient is φ = 6829075272.

The previous prime is 6829075261. The next prime is 6829075283. The reversal of 6829075273 is 3725709286.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5964009529 + 865065744 = 77227^2 + 29412^2 .

It is a cyclic number.

It is not a de Polignac number, because 6829075273 - 2⁵ = 6829075241 is a prime.

It is not a weakly prime, because it can be changed into another prime (6829075213) 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, 3414537636 + 3414537637.

It is an arithmetic number, because the mean of its divisors is an integer number (3414537637).

Almost surely, 2^6829075273 is an apocalyptic number.

It is an amenable number.

6829075273 is a deficient number, since it is larger than the sum of its proper divisors (1).

6829075273 is an equidigital number, since it uses as much as digits as its factorization.

6829075273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1270080, while the sum is 49.

The square root of 6829075273 is about 82638.2192027394. The cubic root of 6829075273 is about 1897.2328391753.

The spelling of 6829075273 in words is "six billion, eight hundred twenty-nine million, seventy-five thousand, two hundred seventy-three".