828612013 has 2 divisors, whose sum is σ = 828612014. Its totient is φ = 828612012.

The previous prime is 828611969. The next prime is 828612019. The reversal of 828612013 is 310216828.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 573027844 + 255584169 = 23938^2 + 15987^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-828612013 is a prime.

It is equal to p_42540907 and since 828612013 and 42540907 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (828612019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414306006 + 414306007.

It is an arithmetic number, because the mean of its divisors is an integer number (414306007).

Almost surely, 2^828612013 is an apocalyptic number.

It is an amenable number.

828612013 is a deficient number, since it is larger than the sum of its proper divisors (1).

828612013 is an equidigital number, since it uses as much as digits as its factorization.

828612013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 828612013 is about 28785.6216365046. The cubic root of 828612013 is about 939.2554890208.

The spelling of 828612013 in words is "eight hundred twenty-eight million, six hundred twelve thousand, thirteen".