819828913 has 2 divisors, whose sum is σ = 819828914. Its totient is φ = 819828912.

The previous prime is 819828901. The next prime is 819828917. The reversal of 819828913 is 319828918.

819828913 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 508412304 + 311416609 = 22548^2 + 17647^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-819828913 is a prime.

It is a super-3 number, since 3×819828913³ (a number of 28 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (819828917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 409914456 + 409914457.

It is an arithmetic number, because the mean of its divisors is an integer number (409914457).

Almost surely, 2^819828913 is an apocalyptic number.

It is an amenable number.

819828913 is a deficient number, since it is larger than the sum of its proper divisors (1).

819828913 is an equidigital number, since it uses as much as digits as its factorization.

819828913 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 248832, while the sum is 49.

The square root of 819828913 is about 28632.6546621161. The cubic root of 819828913 is about 935.9250619534.

The spelling of 819828913 in words is "eight hundred nineteen million, eight hundred twenty-eight thousand, nine hundred thirteen".