480601556825177 has 2 divisors, whose sum is σ = 480601556825178. Its totient is φ = 480601556825176.

The previous prime is 480601556825153. The next prime is 480601556825207. The reversal of 480601556825177 is 771528655106084.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 294023004115801 + 186578552709376 = 17147099^2 + 13659376^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-480601556825177 is a prime.

It is a super-3 number, since 3×480601556825177³ (a number of 45 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (480601556824177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240300778412588 + 240300778412589.

It is an arithmetic number, because the mean of its divisors is an integer number (240300778412589).

Almost surely, 2^{480601556825177} is an apocalyptic number.

It is an amenable number.

480601556825177 is a deficient number, since it is larger than the sum of its proper divisors (1).

480601556825177 is an equidigital number, since it uses as much as digits as its factorization.

480601556825177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112896000, while the sum is 65.

The spelling of 480601556825177 in words is "four hundred eighty trillion, six hundred one billion, five hundred fifty-six million, eight hundred twenty-five thousand, one hundred seventy-seven".