531265 has 16 divisors (see below), whose sum is σ = 747648. Its totient is φ = 354816.

The previous prime is 531263. The next prime is 531281. The reversal of 531265 is 562135.

It is a happy number.

It is not a de Polignac number, because 531265 - 2¹ = 531263 is a prime.

It is a Duffinian number.

531265 is a lucky number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (531263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1329 + ... + 1681.

It is an arithmetic number, because the mean of its divisors is an integer number (46728).

2⁵³¹²⁶⁵ is an apocalyptic number.

It is an amenable number.

531265 is a deficient number, since it is larger than the sum of its proper divisors (216383).

531265 is a wasteful number, since it uses less digits than its factorization.

531265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408.

The product of its digits is 900, while the sum is 22.

The square root of 531265 is about 728.8792766981. The cubic root of 531265 is about 80.9910572864.

It can be divided in two parts, 531 and 265, that multiplied together give a triangular number (140715 = T₅₃₀).

The spelling of 531265 in words is "five hundred thirty-one thousand, two hundred sixty-five".