819268129 has 2 divisors, whose sum is σ = 819268130. Its totient is φ = 819268128.

The previous prime is 819268069. The next prime is 819268181. The reversal of 819268129 is 921862918.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 743107600 + 76160529 = 27260^2 + 8727^2 .

It is a cyclic number.

It is not a de Polignac number, because 819268129 - 2⁷ = 819268001 is a prime.

It is not a weakly prime, because it can be changed into another prime (819268189) 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, 409634064 + 409634065.

It is an arithmetic number, because the mean of its divisors is an integer number (409634065).

Almost surely, 2^819268129 is an apocalyptic number.

It is an amenable number.

819268129 is a deficient number, since it is larger than the sum of its proper divisors (1).

819268129 is an equidigital number, since it uses as much as digits as its factorization.

819268129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 124416, while the sum is 46.

The square root of 819268129 is about 28622.8602519035. The cubic root of 819268129 is about 935.7116143638.

The spelling of 819268129 in words is "eight hundred nineteen million, two hundred sixty-eight thousand, one hundred twenty-nine".