503512540505505 has 128 divisors (see below), whose sum is σ = 908116415078400. Its totient is φ = 264657953664000.

The previous prime is 503512540505497. The next prime is 503512540505549. The reversal of 503512540505505 is 505505045215305.

503512540505505 is a `hidden beast` number, since 5 + 0 + 3 + 5 + 1 + 2 + 5 + 40 + 50 + 550 + 5 = 666.

It is not a de Polignac number, because 503512540505505 - 2³ = 503512540505497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13534900905 + ... + 13534938105.

It is an arithmetic number, because the mean of its divisors is an integer number (7094659492800).

Almost surely, 2^{503512540505505} is an apocalyptic number.

It is an amenable number.

503512540505505 is a deficient number, since it is larger than the sum of its proper divisors (404603874572895).

503512540505505 is a wasteful number, since it uses less digits than its factorization.

503512540505505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39572 (or 39566 counting only the distinct ones).

The product of its (nonzero) digits is 1875000, while the sum is 45.

The spelling of 503512540505505 in words is "five hundred three trillion, five hundred twelve billion, five hundred forty million, five hundred five thousand, five hundred five".