513253 has 6 divisors (see below), whose sum is σ = 555954. Its totient is φ = 473616.

The previous prime is 513239. The next prime is 513257. The reversal of 513253 is 352315.

It can be written as a sum of positive squares in 3 ways, for example, as 19044 + 494209 = 138^2 + 703^2 .

It is not a de Polignac number, because 513253 - 2⁹ = 512741 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 513253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513257) 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, 1350 + ... + 1687.

It is an arithmetic number, because the mean of its divisors is an integer number (92659).

2⁵¹³²⁵³ is an apocalyptic number.

It is an amenable number.

513253 is a deficient number, since it is larger than the sum of its proper divisors (42701).

513253 is a wasteful number, since it uses less digits than its factorization.

513253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3063 (or 3050 counting only the distinct ones).

The product of its digits is 450, while the sum is 19.

The square root of 513253 is about 716.4167781397. The cubic root of 513253 is about 80.0652072524.

Adding to 513253 its reverse (352315), we get a palindrome (865568).

The spelling of 513253 in words is "five hundred thirteen thousand, two hundred fifty-three".