515264 has 28 divisors (see below), whose sum is σ = 1045464. Its totient is φ = 251904.

The previous prime is 515237. The next prime is 515279. The reversal of 515264 is 462515.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5264 + ... + 5360.

It is an arithmetic number, because the mean of its divisors is an integer number (37338).

2⁵¹⁵²⁶⁴ 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 515264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522732).

515264 is an abundant number, since it is smaller than the sum of its proper divisors (530200).

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

515264 is an equidigital number, since it uses as much as digits as its factorization.

515264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 182 counting only the distinct ones).

The product of its digits is 1200, while the sum is 23.

The square root of 515264 is about 717.8189186696. The cubic root of 515264 is about 80.1696400240.

Adding to 515264 its reverse (462515), we get a palindrome (977779).

The spelling of 515264 in words is "five hundred fifteen thousand, two hundred sixty-four".