829607013 has 24 divisors (see below), whose sum is σ = 1262551680. Its totient is φ = 523480320.

The previous prime is 829606993. The next prime is 829607047. The reversal of 829607013 is 310706928.

829607013 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 829607013 - 2¹³ = 829598821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829607413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318645 + ... + 321237.

It is an arithmetic number, because the mean of its divisors is an integer number (52606320).

Almost surely, 2^829607013 is an apocalyptic number.

It is an amenable number.

829607013 is a deficient number, since it is larger than the sum of its proper divisors (432944667).

829607013 is a wasteful number, since it uses less digits than its factorization.

829607013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4489 (or 4486 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 829607013 is about 28802.8993853049. The cubic root of 829607013 is about 939.6312923209.

The spelling of 829607013 in words is "eight hundred twenty-nine million, six hundred seven thousand, thirteen".