505135312 has 60 divisors (see below), whose sum is σ = 1085750820. Its totient is φ = 227476480.

The previous prime is 505135283. The next prime is 505135339. The reversal of 505135312 is 213531505.

It can be written as a sum of positive squares in 2 ways, for example, as 181279296 + 323856016 = 13464^2 + 17996^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 217614 + ... + 219922.

It is an arithmetic number, because the mean of its divisors is an integer number (18095847).

Almost surely, 2^505135312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505135312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542875410).

505135312 is an abundant number, since it is smaller than the sum of its proper divisors (580615508).

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

505135312 is a wasteful number, since it uses less digits than its factorization.

505135312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

The square root of 505135312 is about 22475.2155050847. The cubic root of 505135312 is about 796.4085425861.

Adding to 505135312 its reverse (213531505), we get a palindrome (718666817).

The spelling of 505135312 in words is "five hundred five million, one hundred thirty-five thousand, three hundred twelve".