480052484961 has 40 divisors (see below), whose sum is σ = 770791459584. Its totient is φ = 265466688480.

The previous prime is 480052484941. The next prime is 480052484963. The reversal of 480052484961 is 169484250084.

It is not a de Polignac number, because 480052484961 - 2⁵ = 480052484929 is a prime.

It is a super-2 number, since 2×480052484961² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (480052484963) 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 in 39 ways as a sum of consecutive naturals, for example, 851646 + ... + 1298231.

Almost surely, 2^480052484961 is an apocalyptic number.

It is an amenable number.

480052484961 is a deficient number, since it is larger than the sum of its proper divisors (290738974623).

480052484961 is an equidigital number, since it uses as much as digits as its factorization.

480052484961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149939 (or 2149918 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 480052484961 in words is "four hundred eighty billion, fifty-two million, four hundred eighty-four thousand, nine hundred sixty-one".