531253 has 2 divisors, whose sum is σ = 531254. Its totient is φ = 531252.

The previous prime is 531239. The next prime is 531263. The reversal of 531253 is 352135.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 321489 + 209764 = 567^2 + 458^2 .

It is a cyclic number.

It is not a de Polignac number, because 531253 - 2⁹ = 530741 is a prime.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 531253.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (531203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 265626 + 265627.

It is an arithmetic number, because the mean of its divisors is an integer number (265627).

2⁵³¹²⁵³ is an apocalyptic number.

It is an amenable number.

531253 is a deficient number, since it is larger than the sum of its proper divisors (1).

531253 is an equidigital number, since it uses as much as digits as its factorization.

531253 is an odious number, because the sum of its binary digits is odd.

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

The square root of 531253 is about 728.8710448358. The cubic root of 531253 is about 80.9904474840.

Adding to 531253 its reverse (352135), we get a palindrome (883388).

It can be divided in two parts, 531 and 253, that added together give a square (784 = 28²).

The spelling of 531253 in words is "five hundred thirty-one thousand, two hundred fifty-three".