13358042929 has 81 divisors (see below), whose sum is σ = 18257329881. Its totient is φ = 9736206480.

The previous prime is 13358042917. The next prime is 13358042953. The reversal of 13358042929 is 92924085331.

The square root of 13358042929 is 115577.

It is a perfect power (a square), and thus also a powerful number.

13358042929 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13358042929 - 2¹¹ = 13358040881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13358042969) 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 in 80 ways as a sum of consecutive naturals, for example, 169089112 + ... + 169089190.

Almost surely, 2^13358042929 is an apocalyptic number.

13358042929 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

13358042929 is the 115577-th square number.

13358042929 is the 57789-th centered octagonal number.

It is an amenable number.

13358042929 is a deficient number, since it is larger than the sum of its proper divisors (4899286952).

13358042929 is an equidigital number, since it uses as much as digits as its factorization.

13358042929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 13358042929 in words is "thirteen billion, three hundred fifty-eight million, forty-two thousand, nine hundred twenty-nine".