513023224 has 64 divisors (see below), whose sum is σ = 1148659200. Its totient is φ = 210155904.

The previous prime is 513023197. The next prime is 513023227. The reversal of 513023224 is 422320315.

It is a junction number, because it is equal to n+sod(n) for n = 513023195 and 513023204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513023227) 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, 165739 + ... + 168805.

It is an arithmetic number, because the mean of its divisors is an integer number (17947800).

Almost surely, 2^513023224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513023224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574329600).

513023224 is an abundant number, since it is smaller than the sum of its proper divisors (635635976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513023224 is a wasteful number, since it uses less digits than its factorization.

513023224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 513023224 is about 22650.0159823343. The cubic root of 513023224 is about 800.5325745434.

Adding to 513023224 its reverse (422320315), we get a palindrome (935343539).

The spelling of 513023224 in words is "five hundred thirteen million, twenty-three thousand, two hundred twenty-four".