513231 has 4 divisors (see below), whose sum is σ = 684312. Its totient is φ = 342152.

The previous prime is 513203. The next prime is 513239. The reversal of 513231 is 132315.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 513231 - 2⁶ = 513167 is a prime.

It is a super-2 number, since 2×513231² = 526812118722, which contains 22 as substring.

It is a D-number.

513231 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 513231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85536 + ... + 85541.

It is an arithmetic number, because the mean of its divisors is an integer number (171078).

2⁵¹³²³¹ is an apocalyptic number.

513231 is a deficient number, since it is larger than the sum of its proper divisors (171081).

513231 is a wasteful number, since it uses less digits than its factorization.

513231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171080.

The product of its digits is 90, while the sum is 15.

The square root of 513231 is about 716.4014237842. The cubic root of 513231 is about 80.0640632684.

Adding to 513231 its reverse (132315), we get a palindrome (645546).

The spelling of 513231 in words is "five hundred thirteen thousand, two hundred thirty-one".