513213333 has 8 divisors (see below), whose sum is σ = 684607200. Its totient is φ = 341980848.

The previous prime is 513213317. The next prime is 513213353. The reversal of 513213333 is 333312315.

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

It is not a de Polignac number, because 513213333 - 2⁴ = 513213317 is a prime.

It is a super-3 number, since 3×513213333³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513213353) 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, 32718 + ... + 45791.

It is an arithmetic number, because the mean of its divisors is an integer number (85575900).

Almost surely, 2^513213333 is an apocalyptic number.

It is an amenable number.

513213333 is a deficient number, since it is larger than the sum of its proper divisors (171393867).

513213333 is a wasteful number, since it uses less digits than its factorization.

513213333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80691.

The product of its digits is 2430, while the sum is 24.

The square root of 513213333 is about 22654.2122573265. The cubic root of 513213333 is about 800.6314457351.

Adding to 513213333 its reverse (333312315), we get a palindrome (846525648).

The spelling of 513213333 in words is "five hundred thirteen million, two hundred thirteen thousand, three hundred thirty-three".