513331 has 8 divisors (see below), whose sum is σ = 631904. Its totient is φ = 406080.

The previous prime is 513319. The next prime is 513341. The reversal of 513331 is 133315.

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 513331 - 2⁷ = 513203 is a prime.

It is a super-2 number, since 2×513331² = 527017431122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (513311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2730 + ... + 2911.

It is an arithmetic number, because the mean of its divisors is an integer number (78988).

2⁵¹³³³¹ is an apocalyptic number.

513331 is a deficient number, since it is larger than the sum of its proper divisors (118573).

513331 is a wasteful number, since it uses less digits than its factorization.

513331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5661.

The product of its digits is 135, while the sum is 16.

The square root of 513331 is about 716.4712136576. The cubic root of 513331 is about 80.0692629324.

Subtracting from 513331 its sum of digits (16), we obtain a palindrome (513315).

Adding to 513331 its reverse (133315), we get a palindrome (646646).

The spelling of 513331 in words is "five hundred thirteen thousand, three hundred thirty-one".