513233 has 8 divisors (see below), whose sum is σ = 591552. Its totient is φ = 436176.

The previous prime is 513203. The next prime is 513239. The reversal of 513233 is 332315.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 513233 - 2⁶ = 513169 is a prime.

It is a super-2 number, since 2×513233² = 526816224578, which contains 22 as substring.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513233.

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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 866 + ... + 1332.

It is an arithmetic number, because the mean of its divisors is an integer number (73944).

2⁵¹³²³³ is an apocalyptic number.

It is an amenable number.

513233 is a deficient number, since it is larger than the sum of its proper divisors (78319).

513233 is a wasteful number, since it uses less digits than its factorization.

513233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631.

The product of its digits is 270, while the sum is 17.

The square root of 513233 is about 716.4028196483. The cubic root of 513233 is about 80.0641672683.

Adding to 513233 its reverse (332315), we get a palindrome (845548).

The spelling of 513233 in words is "five hundred thirteen thousand, two hundred thirty-three".