480508527630201 has 48 divisors (see below), whose sum is σ = 748737121011840. Its totient is φ = 273302738634240.

The previous prime is 480508527630199. The next prime is 480508527630217. The reversal of 480508527630201 is 102036725805084.

It is not a de Polignac number, because 480508527630201 - 2¹ = 480508527630199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (480508527630301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121632705 + ... + 125521041.

It is an arithmetic number, because the mean of its divisors is an integer number (15598690021080).

Almost surely, 2^{480508527630201} is an apocalyptic number.

It is an amenable number.

480508527630201 is a deficient number, since it is larger than the sum of its proper divisors (268228593381639).

480508527630201 is a wasteful number, since it uses less digits than its factorization.

480508527630201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892254 (or 3892247 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 480508527630201 in words is "four hundred eighty trillion, five hundred eight billion, five hundred twenty-seven million, six hundred thirty thousand, two hundred one".