513431542224 has 60 divisors (see below), whose sum is σ = 1436944860000. Its totient is φ = 171137934912.

The previous prime is 513431542219. The next prime is 513431542321. The reversal of 513431542224 is 422245134315.

It is a happy number.

513431542224 is a `hidden beast` number, since 51 + 3 + 43 + 1 + 542 + 2 + 24 = 666.

It is a super-2 number, since 2×513431542224² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6657517 + ... + 6734195.

It is an arithmetic number, because the mean of its divisors is an integer number (23949081000).

Almost surely, 2^513431542224 is an apocalyptic number.

It is an amenable number.

513431542224 is an abundant number, since it is smaller than the sum of its proper divisors (923513317776).

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

513431542224 is a wasteful number, since it uses less digits than its factorization.

513431542224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123192 (or 123183 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

Adding to 513431542224 its reverse (422245134315), we get a palindrome (935676676539).

The spelling of 513431542224 in words is "five hundred thirteen billion, four hundred thirty-one million, five hundred forty-two thousand, two hundred twenty-four".