513425411224 has 64 divisors (see below), whose sum is σ = 1063197031680. Its totient is φ = 230486256000.

The previous prime is 513425411189. The next prime is 513425411227. The reversal of 513425411224 is 422114524315.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 513425411224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513425411227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25634334 + ... + 25654354.

It is an arithmetic number, because the mean of its divisors is an integer number (16612453620).

Almost surely, 2^513425411224 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 513425411224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531598515840).

513425411224 is an abundant number, since it is smaller than the sum of its proper divisors (549771620456).

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

513425411224 is a wasteful number, since it uses less digits than its factorization.

513425411224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23632 (or 23628 counting only the distinct ones).

The product of its digits is 38400, while the sum is 34.

Adding to 513425411224 its reverse (422114524315), we get a palindrome (935539935539).

The spelling of 513425411224 in words is "five hundred thirteen billion, four hundred twenty-five million, four hundred eleven thousand, two hundred twenty-four".