505112313 has 16 divisors (see below), whose sum is σ = 726558336. Its totient is φ = 310951680.

The previous prime is 505112303. The next prime is 505112323. The reversal of 505112313 is 313211505.

It is an interprime number because it is at equal distance from previous prime (505112303) and next prime (505112323).

It is not a de Polignac number, because 505112313 - 2⁸ = 505112057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 505112313.

It is not an unprimeable number, because it can be changed into a prime (505112303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90733 + ... + 96138.

It is an arithmetic number, because the mean of its divisors is an integer number (45409896).

Almost surely, 2^505112313 is an apocalyptic number.

505112313 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

505112313 is a deficient number, since it is larger than the sum of its proper divisors (221446023).

505112313 is a wasteful number, since it uses less digits than its factorization.

505112313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186944.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 505112313 is about 22474.7038467696. The cubic root of 505112313 is about 796.3964554763.

Adding to 505112313 its reverse (313211505), we get a palindrome (818323818).

The spelling of 505112313 in words is "five hundred five million, one hundred twelve thousand, three hundred thirteen".