513352121334 has 64 divisors (see below), whose sum is σ = 1122656371200. Its totient is φ = 155546664192.

The previous prime is 513352121333. The next prime is 513352121363. The reversal of 513352121334 is 433121253315.

It is a junction number, because it is equal to n+sod(n) for n = 513352121295 and 513352121304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513352121333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1259602 + ... + 1616570.

It is an arithmetic number, because the mean of its divisors is an integer number (17541505800).

Almost surely, 2^513352121334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513352121334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561328185600).

513352121334 is an abundant number, since it is smaller than the sum of its proper divisors (609304249866).

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

513352121334 is a wasteful number, since it uses less digits than its factorization.

513352121334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357269.

The product of its digits is 32400, while the sum is 33.

Adding to 513352121334 its reverse (433121253315), we get a palindrome (946473374649).

The spelling of 513352121334 in words is "five hundred thirteen billion, three hundred fifty-two million, one hundred twenty-one thousand, three hundred thirty-four".