513136654425198 has 48 divisors (see below), whose sum is σ = 1126328022480960. Its totient is φ = 168822535483392.

The previous prime is 513136654425193. The next prime is 513136654425223. The reversal of 513136654425198 is 891524456631315.

513136654425198 is a `hidden beast` number, since 5 + 1 + 3 + 1 + 3 + 66 + 54 + 4 + 2 + 519 + 8 = 666.

It is a super-3 number, since 3×513136654425198³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513136654425191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 527295411 + ... + 528267662.

It is an arithmetic number, because the mean of its divisors is an integer number (23465167135020).

Almost surely, 2^{513136654425198} is an apocalyptic number.

513136654425198 is an abundant number, since it is smaller than the sum of its proper divisors (613191368055762).

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

513136654425198 is a wasteful number, since it uses less digits than its factorization.

513136654425198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055563433 (or 1055563430 counting only the distinct ones).

The product of its digits is 93312000, while the sum is 63.

The spelling of 513136654425198 in words is "five hundred thirteen trillion, one hundred thirty-six billion, six hundred fifty-four million, four hundred twenty-five thousand, one hundred ninety-eight".