505765312 has 112 divisors (see below), whose sum is σ = 1127792512. Its totient is φ = 223534080.

The previous prime is 505765297. The next prime is 505765319. The reversal of 505765312 is 213567505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505765319) 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, 2396887 + ... + 2397097.

It is an arithmetic number, because the mean of its divisors is an integer number (10069576).

Almost surely, 2^505765312 is an apocalyptic number.

505765312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505765312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563896256).

505765312 is an abundant number, since it is smaller than the sum of its proper divisors (622027200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

505765312 is a wasteful number, since it uses less digits than its factorization.

505765312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 34.

The square root of 505765312 is about 22489.2265762965. The cubic root of 505765312 is about 796.7394961128.

The spelling of 505765312 in words is "five hundred five million, seven hundred sixty-five thousand, three hundred twelve".