505312565213505 has 32 divisors (see below), whose sum is σ = 924000970169088. Its totient is φ = 230999817081600.

The previous prime is 505312565213419. The next prime is 505312565213653.

505312565213505 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 505312565213505 - 2¹⁶ = 505312565147969 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198556995 + ... + 201085815.

It is an arithmetic number, because the mean of its divisors is an integer number (28875030317784).

Almost surely, 2^{505312565213505} is an apocalyptic number.

It is an amenable number.

505312565213505 is a deficient number, since it is larger than the sum of its proper divisors (418688404955583).

505312565213505 is a wasteful number, since it uses less digits than its factorization.

505312565213505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4431897.

The product of its (nonzero) digits is 3375000, while the sum is 48.

The spelling of 505312565213505 in words is "five hundred five trillion, three hundred twelve billion, five hundred sixty-five million, two hundred thirteen thousand, five hundred five".