513413332 has 72 divisors (see below), whose sum is σ = 989233560. Its totient is φ = 232727040.

The previous prime is 513413317. The next prime is 513413359. The reversal of 513413332 is 233314315.

It can be written as a sum of positive squares in 12 ways, for example, as 6533136 + 506880196 = 2556^2 + 22514^2 .

It is a junction number, because it is equal to n+sod(n) for n = 513413297 and 513413306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8416582 + ... + 8416642.

It is an arithmetic number, because the mean of its divisors is an integer number (13739355).

Almost surely, 2^513413332 is an apocalyptic number.

It is an amenable number.

513413332 is a deficient number, since it is larger than the sum of its proper divisors (475820228).

513413332 is a wasteful number, since it uses less digits than its factorization.

513413332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 182 counting only the distinct ones).

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

The square root of 513413332 is about 22658.6259954129. The cubic root of 513413332 is about 800.7354341303.

Adding to 513413332 its reverse (233314315), we get a palindrome (746727647).

The spelling of 513413332 in words is "five hundred thirteen million, four hundred thirteen thousand, three hundred thirty-two".