829035013 has 2 divisors, whose sum is σ = 829035014. Its totient is φ = 829035012.

The previous prime is 829035007. The next prime is 829035049. The reversal of 829035013 is 310530928.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 426711649 + 402323364 = 20657^2 + 20058^2 .

It is a cyclic number.

It is not a de Polignac number, because 829035013 - 2⁵ = 829034981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (821035013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414517506 + 414517507.

It is an arithmetic number, because the mean of its divisors is an integer number (414517507).

Almost surely, 2^829035013 is an apocalyptic number.

It is an amenable number.

829035013 is a deficient number, since it is larger than the sum of its proper divisors (1).

829035013 is an equidigital number, since it uses as much as digits as its factorization.

829035013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 829035013 is about 28792.9681172331. The cubic root of 829035013 is about 939.4152893768.

The spelling of 829035013 in words is "eight hundred twenty-nine million, thirty-five thousand, thirteen".