513534432160 has 96 divisors (see below), whose sum is σ = 1222434726912. Its totient is φ = 203858411520.

The previous prime is 513534432121. The next prime is 513534432179. The reversal of 513534432160 is 61234435315.

It is a super-2 number, since 2×513534432160² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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, 17112529 + ... + 17142511.

It is an arithmetic number, because the mean of its divisors is an integer number (12733695072).

Almost surely, 2^513534432160 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 513534432160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611217363456).

513534432160 is an abundant number, since it is smaller than the sum of its proper divisors (708900294752).

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

513534432160 is a wasteful number, since it uses less digits than its factorization.

513534432160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30806 (or 30798 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

Adding to 513534432160 its reverse (61234435315), we get a palindrome (574768867475).

The spelling of 513534432160 in words is "five hundred thirteen billion, five hundred thirty-four million, four hundred thirty-two thousand, one hundred sixty".