513334135336 has 128 divisors (see below), whose sum is σ = 1159471272960. Its totient is φ = 210331238400.

The previous prime is 513334135309. The next prime is 513334135337. The reversal of 513334135336 is 633531433315.

It is not an unprimeable number, because it can be changed into a prime (513334135337) 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 31 ways as a sum of consecutive naturals, for example, 4441416 + ... + 4555528.

It is an arithmetic number, because the mean of its divisors is an integer number (9058369320).

Almost surely, 2^513334135336 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 513334135336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579735636480).

513334135336 is an abundant number, since it is smaller than the sum of its proper divisors (646137137624).

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

513334135336 is a wasteful number, since it uses less digits than its factorization.

513334135336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114275 (or 114271 counting only the distinct ones).

The product of its digits is 437400, while the sum is 40.

The spelling of 513334135336 in words is "five hundred thirteen billion, three hundred thirty-four million, one hundred thirty-five thousand, three hundred thirty-six".