505216164402313 has 48 divisors (see below), whose sum is σ = 670544887178880. Its totient is φ = 371547820979712.

The previous prime is 505216164402277. The next prime is 505216164402377. The reversal of 505216164402313 is 313204461612505.

It is not a de Polignac number, because 505216164402313 - 2²⁹ = 505215627531401 is a prime.

It is a super-3 number, since 3×505216164402313³ (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 505216164402313.

It is not an unprimeable number, because it can be changed into a prime (505216164406313) 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, 210856156 + ... + 213238717.

It is an arithmetic number, because the mean of its divisors is an integer number (13969685149560).

Almost surely, 2^{505216164402313} is an apocalyptic number.

505216164402313 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

505216164402313 is a deficient number, since it is larger than the sum of its proper divisors (165328722776567).

505216164402313 is a wasteful number, since it uses less digits than its factorization.

505216164402313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424094978 (or 424094965 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 505216164402313 in words is "five hundred five trillion, two hundred sixteen billion, one hundred sixty-four million, four hundred two thousand, three hundred thirteen".