513228 has 24 divisors (see below), whose sum is σ = 1261120. Its totient is φ = 162000.

The previous prime is 513203. The next prime is 513239. The reversal of 513228 is 822315.

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, 898 + ... + 1353.

2⁵¹³²²⁸ is an apocalyptic number.

It is an amenable number.

513228 is an abundant number, since it is smaller than the sum of its proper divisors (747892).

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

513228 is a wasteful number, since it uses less digits than its factorization.

513228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2275 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 513228 is about 716.3993299829. The cubic root of 513228 is about 80.0639072680.

It can be divided in two parts, 513 and 228, that multiplied together give a square (116964 = 342²).

The spelling of 513228 in words is "five hundred thirteen thousand, two hundred twenty-eight".