513220 has 24 divisors (see below), whose sum is σ = 1096704. Its totient is φ = 201696.

The previous prime is 513203. The next prime is 513239. The reversal of 513220 is 22315.

It is a self number, because there is not a number n which added to its sum of digits gives 513220.

It is an unprimeable number.

513220 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1149 + ... + 1531.

It is an arithmetic number, because the mean of its divisors is an integer number (45696).

2⁵¹³²²⁰ is an apocalyptic number.

It is an amenable number.

513220 is an abundant number, since it is smaller than the sum of its proper divisors (583484).

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

513220 is a wasteful number, since it uses less digits than its factorization.

513220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 513220 is about 716.3937464830. The cubic root of 513220 is about 80.0634912641.

Adding to 513220 its reverse (22315), we get a palindrome (535535).

It can be divided in two parts, 5 and 13220, that added together give a square (13225 = 115²).

The spelling of 513220 in words is "five hundred thirteen thousand, two hundred twenty".