480017195617 has 2 divisors, whose sum is σ = 480017195618. Its totient is φ = 480017195616.

The previous prime is 480017195599. The next prime is 480017195629. The reversal of 480017195617 is 716591710084.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 411228495441 + 68788700176 = 641271^2 + 262276^2 .

It is a cyclic number.

It is not a de Polignac number, because 480017195617 - 2³⁵ = 445657457249 is a prime.

It is not a weakly prime, because it can be changed into another prime (480017195717) 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, 240008597808 + 240008597809.

It is an arithmetic number, because the mean of its divisors is an integer number (240008597809).

Almost surely, 2^480017195617 is an apocalyptic number.

It is an amenable number.

480017195617 is a deficient number, since it is larger than the sum of its proper divisors (1).

480017195617 is an equidigital number, since it uses as much as digits as its factorization.

480017195617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 423360, while the sum is 49.

The spelling of 480017195617 in words is "four hundred eighty billion, seventeen million, one hundred ninety-five thousand, six hundred seventeen".