480864613217 has 2 divisors, whose sum is σ = 480864613218. Its totient is φ = 480864613216.

The previous prime is 480864613181. The next prime is 480864613373. The reversal of 480864613217 is 712316468084.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 267091542481 + 213773070736 = 516809^2 + 462356^2 .

It is a cyclic number.

It is not a de Polignac number, because 480864613217 - 2⁶ = 480864613153 is a prime.

It is a super-3 number, since 3×480864613217³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (480864613717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240432306608 + 240432306609.

It is an arithmetic number, because the mean of its divisors is an integer number (240432306609).

Almost surely, 2^480864613217 is an apocalyptic number.

It is an amenable number.

480864613217 is a deficient number, since it is larger than the sum of its proper divisors (1).

480864613217 is an equidigital number, since it uses as much as digits as its factorization.

480864613217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1548288, while the sum is 50.

The spelling of 480864613217 in words is "four hundred eighty billion, eight hundred sixty-four million, six hundred thirteen thousand, two hundred seventeen".