480511748772531 has 48 divisors (see below), whose sum is σ = 796090543622400. Its totient is φ = 273587457401280.

The previous prime is 480511748772493. The next prime is 480511748772563. The reversal of 480511748772531 is 135277847115084.

480511748772531 is a `hidden beast` number, since 4 + 8 + 0 + 5 + 1 + 17 + 4 + 87 + 7 + 2 + 531 = 666.

It is not a de Polignac number, because 480511748772531 - 2⁶ = 480511748772467 is a prime.

It is a super-2 number, since 2×480511748772531² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (480511748772581) 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 47 ways as a sum of consecutive naturals, for example, 28647961 + ... + 42210533.

It is an arithmetic number, because the mean of its divisors is an integer number (16585219658800).

Almost surely, 2^{480511748772531} is an apocalyptic number.

480511748772531 is a deficient number, since it is larger than the sum of its proper divisors (315578794849869).

480511748772531 is a wasteful number, since it uses less digits than its factorization.

480511748772531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13564616 (or 13564613 counting only the distinct ones).

The product of its (nonzero) digits is 52684800, while the sum is 63.

The spelling of 480511748772531 in words is "four hundred eighty trillion, five hundred eleven billion, seven hundred forty-eight million, seven hundred seventy-two thousand, five hundred thirty-one".