824805413 has 2 divisors, whose sum is σ = 824805414. Its totient is φ = 824805412.

The previous prime is 824805407. The next prime is 824805493. The reversal of 824805413 is 314508428.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 559180609 + 265624804 = 23647^2 + 16298^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-824805413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (824805493) 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, 412402706 + 412402707.

It is an arithmetic number, because the mean of its divisors is an integer number (412402707).

Almost surely, 2^824805413 is an apocalyptic number.

It is an amenable number.

824805413 is a deficient number, since it is larger than the sum of its proper divisors (1).

824805413 is an equidigital number, since it uses as much as digits as its factorization.

824805413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 824805413 is about 28719.4257080465. The cubic root of 824805413 is about 937.8149841262.

The spelling of 824805413 in words is "eight hundred twenty-four million, eight hundred five thousand, four hundred thirteen".