13530005829 has 20 divisors (see below), whose sum is σ = 21090253536. Its totient is φ = 8627828616.

The previous prime is 13530005813. The next prime is 13530005843. The reversal of 13530005829 is 92850003531.

It is not a de Polignac number, because 13530005829 - 2⁴ = 13530005813 is a prime.

It is a super-2 number, since 2×13530005829² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13530005793 and 13530005802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13530005899) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3629379 + ... + 3633104.

Almost surely, 2^13530005829 is an apocalyptic number.

It is an amenable number.

13530005829 is a deficient number, since it is larger than the sum of its proper divisors (7560247707).

13530005829 is an equidigital number, since it uses as much as digits as its factorization.

13530005829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7262518 (or 7262509 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 13530005829 in words is "thirteen billion, five hundred thirty million, five thousand, eight hundred twenty-nine".