515232 has 36 divisors (see below), whose sum is σ = 1466010. Its totient is φ = 171648.

The previous prime is 515231. The next prime is 515233. The reversal of 515232 is 232515.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (515231) and next prime (515233).

It can be written as a sum of positive squares in only one way, i.e., 318096 + 197136 = 564^2 + 444^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 5 + 1 + 2⁴ + 5⁸ + 3¹⁰ + 2¹⁶ .

It is not an unprimeable number, because it can be changed into a prime (515231) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 607 + ... + 1182.

2⁵¹⁵²³² is an apocalyptic number.

It is an amenable number.

515232 is an abundant number, since it is smaller than the sum of its proper divisors (950778).

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

515232 is a wasteful number, since it uses less digits than its factorization.

515232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1794 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 515232 is about 717.7966285794. The cubic root of 515232 is about 80.1679803689.

Adding to 515232 its reverse (232515), we get a palindrome (747747).

It can be divided in two parts, 5152 and 32, that added together give a square (5184 = 72²).

The spelling of 515232 in words is "five hundred fifteen thousand, two hundred thirty-two".