513324133 has 16 divisors (see below), whose sum is σ = 617020416. Its totient is φ = 417755520.

The previous prime is 513324113. The next prime is 513324139. The reversal of 513324133 is 331423315.

It is not a de Polignac number, because 513324133 - 2⁹ = 513323621 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 513324098 and 513324107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513324139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10816 + ... + 33817.

It is an arithmetic number, because the mean of its divisors is an integer number (38563776).

Almost surely, 2^513324133 is an apocalyptic number.

513324133 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

513324133 is a deficient number, since it is larger than the sum of its proper divisors (103696283).

513324133 is a wasteful number, since it uses less digits than its factorization.

513324133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44724.

The product of its digits is 3240, while the sum is 25.

The square root of 513324133 is about 22656.6575866786. The cubic root of 513324133 is about 800.6890589310.

Adding to 513324133 its reverse (331423315), we get a palindrome (844747448).

The spelling of 513324133 in words is "five hundred thirteen million, three hundred twenty-four thousand, one hundred thirty-three".