428589417678313 has 2 divisors, whose sum is σ = 428589417678314. Its totient is φ = 428589417678312.

The previous prime is 428589417678277. The next prime is 428589417678349. The reversal of 428589417678313 is 313876714985824.

It is a balanced prime because it is at equal distance from previous prime (428589417678277) and next prime (428589417678349).

It can be written as a sum of positive squares in only one way, i.e., 402997474591209 + 25591943087104 = 20074797^2 + 5058848^2 .

It is a cyclic number.

It is not a de Polignac number, because 428589417678313 - 2³⁷ = 428451978724841 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 428589417678313.

It is not a weakly prime, because it can be changed into another prime (428589517678313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 214294708839156 + 214294708839157.

It is an arithmetic number, because the mean of its divisors is an integer number (214294708839157).

Almost surely, 2^{428589417678313} is an apocalyptic number.

It is an amenable number.

428589417678313 is a deficient number, since it is larger than the sum of its proper divisors (1).

428589417678313 is an equidigital number, since it uses as much as digits as its factorization.

428589417678313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1950842880, while the sum is 76.

The spelling of 428589417678313 in words is "four hundred twenty-eight trillion, five hundred eighty-nine billion, four hundred seventeen million, six hundred seventy-eight thousand, three hundred thirteen".