829213013 has 4 divisors (see below), whose sum is σ = 829286208. Its totient is φ = 829139820.

The previous prime is 829213009. The next prime is 829213039. The reversal of 829213013 is 310312928.

829213013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 829213013 - 2² = 829213009 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829213003) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15581 + ... + 43602.

It is an arithmetic number, because the mean of its divisors is an integer number (207321552).

Almost surely, 2^829213013 is an apocalyptic number.

It is an amenable number.

829213013 is a deficient number, since it is larger than the sum of its proper divisors (73195).

829213013 is a wasteful number, since it uses less digits than its factorization.

829213013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73194.

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 829213013 is about 28796.0589838262. The cubic root of 829213013 is about 939.4825177217.

The spelling of 829213013 in words is "eight hundred twenty-nine million, two hundred thirteen thousand, thirteen".