428953420810517 has 2 divisors, whose sum is σ = 428953420810518. Its totient is φ = 428953420810516.

The previous prime is 428953420810471. The next prime is 428953420810553. The reversal of 428953420810517 is 715018024359824.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 275610001468036 + 153343419342481 = 16601506^2 + 12383191^2 .

It is a cyclic number.

It is not a de Polignac number, because 428953420810517 - 2¹⁰ = 428953420809493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (428953420810417) 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, 214476710405258 + 214476710405259.

It is an arithmetic number, because the mean of its divisors is an integer number (214476710405259).

Almost surely, 2^{428953420810517} is an apocalyptic number.

It is an amenable number.

428953420810517 is a deficient number, since it is larger than the sum of its proper divisors (1).

428953420810517 is an equidigital number, since it uses as much as digits as its factorization.

428953420810517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19353600, while the sum is 59.

The spelling of 428953420810517 in words is "four hundred twenty-eight trillion, nine hundred fifty-three billion, four hundred twenty million, eight hundred ten thousand, five hundred seventeen".