513334135325 has 24 divisors (see below), whose sum is σ = 696634001856. Its totient is φ = 372133424000.

The previous prime is 513334135309. The next prime is 513334135337. The reversal of 513334135325 is 523531433315.

It is not a de Polignac number, because 513334135325 - 2⁴ = 513334135309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2915552 + ... + 3086601.

It is an arithmetic number, because the mean of its divisors is an integer number (29026416744).

Almost surely, 2^513334135325 is an apocalyptic number.

513334135325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

513334135325 is a deficient number, since it is larger than the sum of its proper divisors (183299866531).

513334135325 is a wasteful number, since it uses less digits than its factorization.

513334135325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6002485 (or 6002480 counting only the distinct ones).

The product of its digits is 243000, while the sum is 38.

The spelling of 513334135325 in words is "five hundred thirteen billion, three hundred thirty-four million, one hundred thirty-five thousand, three hundred twenty-five".