10829569123 has 2 divisors, whose sum is σ = 10829569124. Its totient is φ = 10829569122.

The previous prime is 10829569103. The next prime is 10829569133. The reversal of 10829569123 is 32196592801.

10829569123 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 is an emirp because it is prime and its reverse (32196592801) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10829569123 - 2¹⁷ = 10829438051 is a prime.

It is not a weakly prime, because it can be changed into another prime (10829569103) 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, 5414784561 + 5414784562.

It is an arithmetic number, because the mean of its divisors is an integer number (5414784562).

Almost surely, 2^10829569123 is an apocalyptic number.

10829569123 is a deficient number, since it is larger than the sum of its proper divisors (1).

10829569123 is an equidigital number, since it uses as much as digits as its factorization.

10829569123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 233280, while the sum is 46.

The spelling of 10829569123 in words is "ten billion, eight hundred twenty-nine million, five hundred sixty-nine thousand, one hundred twenty-three".