513305135225 has 48 divisors (see below), whose sum is σ = 674913469440. Its totient is φ = 386452123200.

The previous prime is 513305135221. The next prime is 513305135237. The reversal of 513305135225 is 522531503315.

It is not a de Polignac number, because 513305135225 - 2² = 513305135221 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513305135221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33085220 + ... + 33100730.

It is an arithmetic number, because the mean of its divisors is an integer number (14060697280).

Almost surely, 2^513305135225 is an apocalyptic number.

It is an amenable number.

513305135225 is a deficient number, since it is larger than the sum of its proper divisors (161608334215).

513305135225 is a wasteful number, since it uses less digits than its factorization.

513305135225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16470 (or 16465 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 35.

The spelling of 513305135225 in words is "five hundred thirteen billion, three hundred five million, one hundred thirty-five thousand, two hundred twenty-five".