501006005505 has 48 divisors (see below), whose sum is σ = 884262909504. Its totient is φ = 262341555840.

The previous prime is 501006005491. The next prime is 501006005543. The reversal of 501006005505 is 505500600105.

501006005505 is a `hidden beast` number, since 5 + 0 + 1 + 0 + 0 + 600 + 5 + 50 + 5 = 666.

It is not a de Polignac number, because 501006005505 - 2⁶ = 501006005441 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1334682 + ... + 1668348.

It is an arithmetic number, because the mean of its divisors is an integer number (18422143948).

Almost surely, 2^501006005505 is an apocalyptic number.

It is an amenable number.

501006005505 is a deficient number, since it is larger than the sum of its proper divisors (383256903999).

501006005505 is a wasteful number, since it uses less digits than its factorization.

501006005505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334286 (or 334283 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The spelling of 501006005505 in words is "five hundred one billion, six million, five thousand, five hundred five".