2013535829 has 2 divisors, whose sum is σ = 2013535830. Its totient is φ = 2013535828.

The previous prime is 2013535793. The next prime is 2013535919. The reversal of 2013535829 is 9285353102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1626508900 + 387026929 = 40330^2 + 19673^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013535829 - 2¹² = 2013531733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2013535792 and 2013535801.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2010535829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006767914 + 1006767915.

It is an arithmetic number, because the mean of its divisors is an integer number (1006767915).

Almost surely, 2^2013535829 is an apocalyptic number.

It is an amenable number.

2013535829 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013535829 is an equidigital number, since it uses as much as digits as its factorization.

2013535829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64800, while the sum is 38.

The square root of 2013535829 is about 44872.4395258381. The cubic root of 2013535829 is about 1262.7570076257.

The spelling of 2013535829 in words is "two billion, thirteen million, five hundred thirty-five thousand, eight hundred twenty-nine".