521253 has 6 divisors (see below), whose sum is σ = 752934. Its totient is φ = 347496.

The previous prime is 521251. The next prime is 521267. The reversal of 521253 is 352125.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 471969 + 49284 = 687^2 + 222^2 .

It is not a de Polignac number, because 521253 - 2¹ = 521251 is a prime.

521253 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521251) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 28950 + ... + 28967.

It is an arithmetic number, because the mean of its divisors is an integer number (125489).

2⁵²¹²⁵³ is an apocalyptic number.

It is an amenable number.

521253 is a deficient number, since it is larger than the sum of its proper divisors (231681).

521253 is a wasteful number, since it uses less digits than its factorization.

521253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57923 (or 57920 counting only the distinct ones).

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

The square root of 521253 is about 721.9785315368. The cubic root of 521253 is about 80.4790527136.

Adding to 521253 its reverse (352125), we get a palindrome (873378).

It can be divided in two parts, 52 and 1253, that multiplied together give a palindrome (65156).

The spelling of 521253 in words is "five hundred twenty-one thousand, two hundred fifty-three".