480853601133377 has 2 divisors, whose sum is σ = 480853601133378. Its totient is φ = 480853601133376.

The previous prime is 480853601133203. The next prime is 480853601133431. The reversal of 480853601133377 is 773331106358084.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 370485465504001 + 110368135629376 = 19247999^2 + 10505624^2 .

It is a cyclic number.

It is not a de Polignac number, because 480853601133377 - 2⁸ = 480853601133121 is a prime.

It is a super-3 number, since 3×480853601133377³ (a number of 45 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (480853601130377) 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, 240426800566688 + 240426800566689.

It is an arithmetic number, because the mean of its divisors is an integer number (240426800566689).

Almost surely, 2^{480853601133377} is an apocalyptic number.

It is an amenable number.

480853601133377 is a deficient number, since it is larger than the sum of its proper divisors (1).

480853601133377 is an equidigital number, since it uses as much as digits as its factorization.

480853601133377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30481920, while the sum is 59.

The spelling of 480853601133377 in words is "four hundred eighty trillion, eight hundred fifty-three billion, six hundred one million, one hundred thirty-three thousand, three hundred seventy-seven".