16829022257 has 2 divisors, whose sum is σ = 16829022258. Its totient is φ = 16829022256.

The previous prime is 16829022233. The next prime is 16829022281. The reversal of 16829022257 is 75222092861.

It is a balanced prime because it is at equal distance from previous prime (16829022233) and next prime (16829022281).

It can be written as a sum of positive squares in only one way, i.e., 13998675856 + 2830346401 = 118316^2 + 53201^2 .

It is a cyclic number.

It is not a de Polignac number, because 16829022257 - 2¹² = 16829018161 is a prime.

It is not a weakly prime, because it can be changed into another prime (16829022227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8414511128 + 8414511129.

It is an arithmetic number, because the mean of its divisors is an integer number (8414511129).

Almost surely, 2^16829022257 is an apocalyptic number.

It is an amenable number.

16829022257 is a deficient number, since it is larger than the sum of its proper divisors (1).

16829022257 is an equidigital number, since it uses as much as digits as its factorization.

16829022257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 241920, while the sum is 44.

It can be divided in two parts, 1682902 and 2257, that added together give a cube (1685159 = 119³).

The spelling of 16829022257 in words is "sixteen billion, eight hundred twenty-nine million, twenty-two thousand, two hundred fifty-seven".