515265 has 8 divisors (see below), whose sum is σ = 824448. Its totient is φ = 274800.

The previous prime is 515237. The next prime is 515279. The reversal of 515265 is 562515.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 515265 - 2⁵ = 515233 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17161 + ... + 17190.

It is an arithmetic number, because the mean of its divisors is an integer number (103056).

2⁵¹⁵²⁶⁵ is an apocalyptic number.

It is an amenable number.

515265 is a deficient number, since it is larger than the sum of its proper divisors (309183).

515265 is a wasteful number, since it uses less digits than its factorization.

515265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34359.

The product of its digits is 1500, while the sum is 24.

The square root of 515265 is about 717.8196152238. The cubic root of 515265 is about 80.1696918871.

It can be divided in two parts, 515 and 265, that added together give a triangular number (780 = T₃₉).

The spelling of 515265 in words is "five hundred fifteen thousand, two hundred sixty-five".