10829573093 has 2 divisors, whose sum is σ = 10829573094. Its totient is φ = 10829573092.

The previous prime is 10829573071. The next prime is 10829573099. The reversal of 10829573093 is 39037592801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10829107969 + 465124 = 104063^2 + 682^2 .

It is a cyclic number.

It is not a de Polignac number, because 10829573093 - 2¹⁸ = 10829310949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10829573099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5414786546 + 5414786547.

It is an arithmetic number, because the mean of its divisors is an integer number (5414786547).

Almost surely, 2^10829573093 is an apocalyptic number.

It is an amenable number.

10829573093 is a deficient number, since it is larger than the sum of its proper divisors (1).

10829573093 is an equidigital number, since it uses as much as digits as its factorization.

10829573093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 408240, while the sum is 47.

The spelling of 10829573093 in words is "ten billion, eight hundred twenty-nine million, five hundred seventy-three thousand, ninety-three".