10017676829 has 2 divisors, whose sum is σ = 10017676830. Its totient is φ = 10017676828.

The previous prime is 10017676811. The next prime is 10017676849. The reversal of 10017676829 is 92867671001.

10017676829 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5972971225 + 4044705604 = 77285^2 + 63598^2 .

It is a cyclic number.

It is not a de Polignac number, because 10017676829 - 2¹⁶ = 10017611293 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10017676849) 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, 5008838414 + 5008838415.

It is an arithmetic number, because the mean of its divisors is an integer number (5008838415).

Almost surely, 2^10017676829 is an apocalyptic number.

It is an amenable number.

10017676829 is a deficient number, since it is larger than the sum of its proper divisors (1).

10017676829 is an equidigital number, since it uses as much as digits as its factorization.

10017676829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 254016, while the sum is 47.

The spelling of 10017676829 in words is "ten billion, seventeen million, six hundred seventy-six thousand, eight hundred twenty-nine".