515312 has 40 divisors (see below), whose sum is σ = 1178496. Its totient is φ = 213696.

The previous prime is 515311. The next prime is 515323. The reversal of 515312 is 213515.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (515311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4763 + ... + 4869.

2⁵¹⁵³¹² 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 515312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589248).

515312 is an abundant number, since it is smaller than the sum of its proper divisors (663184).

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

515312 is a wasteful number, since it uses less digits than its factorization.

515312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 159 counting only the distinct ones).

The product of its digits is 150, while the sum is 17.

The square root of 515312 is about 717.8523525071. The cubic root of 515312 is about 80.1721293778.

Adding to 515312 its reverse (213515), we get a palindrome (728827).

The spelling of 515312 in words is "five hundred fifteen thousand, three hundred twelve".