522753 has 32 divisors (see below), whose sum is σ = 909312. Its totient is φ = 259200.

The previous prime is 522749. The next prime is 522757. The reversal of 522753 is 357225.

522753 is a nontrivial binomial coefficient, being equal to C(1023, 2).

It is an interprime number because it is at equal distance from previous prime (522749) and next prime (522757).

It is not a de Polignac number, because 522753 - 2² = 522749 is a prime.

It is a Curzon number.

522753 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (522757) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7125 + ... + 7197.

It is an arithmetic number, because the mean of its divisors is an integer number (28416).

2⁵²²⁷⁵³ is an apocalyptic number.

522753 is the 1022-nd triangular number.

It is an amenable number.

522753 is a deficient number, since it is larger than the sum of its proper divisors (386559).

522753 is a wasteful number, since it uses less digits than its factorization.

522753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125.

The product of its digits is 2100, while the sum is 24.

The square root of 522753 is about 723.0165973199. The cubic root of 522753 is about 80.5561764694.

Subtracting from 522753 its sum of digits (24), we obtain a square (522729 = 723²).

Adding to 522753 its reverse (357225), we get a palindrome (879978).

It can be divided in two parts, 522 and 753, that added together give a triangular number (1275 = T₅₀).

The spelling of 522753 in words is "five hundred twenty-two thousand, seven hundred fifty-three".