513225361220 has 192 divisors, whose sum is σ = 1334346048000. Its totient is φ = 163147776000.

The previous prime is 513225361169. The next prime is 513225361241. The reversal of 513225361220 is 22163522315.

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 63 ways as a sum of consecutive naturals, for example, 6605156 + ... + 6682404.

It is an arithmetic number, because the mean of its divisors is an integer number (6949719000).

Almost surely, 2^513225361220 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 513225361220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667173024000).

513225361220 is an abundant number, since it is smaller than the sum of its proper divisors (821120686780).

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

513225361220 is a wasteful number, since it uses less digits than its factorization.

513225361220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77406 (or 77404 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

Adding to 513225361220 its reverse (22163522315), we get a palindrome (535388883535).

It can be divided in two parts, 5132 and 25361220, that added together give a palindrome (25366352).

The spelling of 513225361220 in words is "five hundred thirteen billion, two hundred twenty-five million, three hundred sixty-one thousand, two hundred twenty".