513242133520 has 80 divisors (see below), whose sum is σ = 1219014567360. Its totient is φ = 200891238912.

The previous prime is 513242133491. The next prime is 513242133581. The reversal of 513242133520 is 25331242315.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1447267 + ... + 1766653.

It is an arithmetic number, because the mean of its divisors is an integer number (15237682092).

Almost surely, 2^513242133520 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 513242133520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609507283680).

513242133520 is an abundant number, since it is smaller than the sum of its proper divisors (705772433840).

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

513242133520 is a wasteful number, since it uses less digits than its factorization.

513242133520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319832 (or 319826 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 513242133520 its reverse (25331242315), we get a palindrome (538573375835).

The spelling of 513242133520 in words is "five hundred thirteen billion, two hundred forty-two million, one hundred thirty-three thousand, five hundred twenty".