513288 has 24 divisors (see below), whose sum is σ = 1390350. Its totient is φ = 171072.

The previous prime is 513283. The next prime is 513307. The reversal of 513288 is 882315.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 412164 + 101124 = 642^2 + 318^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513288.

It is not an unprimeable number, because it can be changed into a prime (513283) 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, 3493 + ... + 3636.

2⁵¹³²⁸⁸ is an apocalyptic number.

It is an amenable number.

513288 is an abundant number, since it is smaller than the sum of its proper divisors (877062).

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

513288 is a wasteful number, since it uses less digits than its factorization.

513288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7141 (or 7134 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 513288 is about 716.4412048452. The cubic root of 513288 is about 80.0670271596.

Adding to 513288 its sum of digits (27), we get a palindrome (513315).

The spelling of 513288 in words is "five hundred thirteen thousand, two hundred eighty-eight".