513131534224 has 15 divisors (see below), whose sum is σ = 994197899163. Its totient is φ = 256564334448.

The previous prime is 513131534183. The next prime is 513131534257. The reversal of 513131534224 is 422435131315.

The square root of 513131534224 is 716332.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 513131534224.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2775787 + ... + 2954869.

Almost surely, 2^513131534224 is an apocalyptic number.

513131534224 is the 716332-nd square number.

It is an amenable number.

513131534224 is a deficient number, since it is larger than the sum of its proper divisors (481066364939).

513131534224 is an frugal number, since it uses more digits than its factorization.

513131534224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358174 (or 179085 counting only the distinct ones).

The product of its digits is 43200, while the sum is 34.

Adding to 513131534224 its reverse (422435131315), we get a palindrome (935566665539).

The spelling of 513131534224 in words is "five hundred thirteen billion, one hundred thirty-one million, five hundred thirty-four thousand, two hundred twenty-four".