513133 has 8 divisors (see below), whose sum is σ = 547200. Its totient is φ = 479808.

The previous prime is 513131. The next prime is 513137. The reversal of 513133 is 331315.

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 513133 - 2¹ = 513131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513131) 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, 2028 + ... + 2266.

It is an arithmetic number, because the mean of its divisors is an integer number (68400).

2⁵¹³¹³³ is an apocalyptic number.

It is an amenable number.

513133 is a deficient number, since it is larger than the sum of its proper divisors (34067).

513133 is a wasteful number, since it uses less digits than its factorization.

513133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371.

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

The square root of 513133 is about 716.3330231115. Note that the first 3 decimals coincide. The cubic root of 513133 is about 80.0589669422.

Multiplying 513133 by its sum of digits (16), we get a palindrome (8210128).

Adding to 513133 its reverse (331315), we get a palindrome (844448).

It can be divided in two parts, 513 and 133, that added together give a palindrome (646).

The spelling of 513133 in words is "five hundred thirteen thousand, one hundred thirty-three".