513136654425261 has 24 divisors (see below), whose sum is σ = 752410875752640. Its totient is φ = 336925572043200.

The previous prime is 513136654425257. The next prime is 513136654425281. The reversal of 513136654425261 is 162524456631315.

513136654425261 is a `hidden beast` number, since 5 + 1 + 3 + 1 + 3 + 66 + 54 + 4 + 2 + 526 + 1 = 666.

It is not a de Polignac number, because 513136654425261 - 2² = 513136654425257 is a prime.

It is a super-2 number, since 2×513136654425261² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 513136654425198 and 513136654425207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513136654425281) 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, 412886616 + ... + 414127553.

It is an arithmetic number, because the mean of its divisors is an integer number (31350453156360).

Almost surely, 2^{513136654425261} is an apocalyptic number.

It is an amenable number.

513136654425261 is a deficient number, since it is larger than the sum of its proper divisors (239274221327379).

513136654425261 is a wasteful number, since it uses less digits than its factorization.

513136654425261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827015217 (or 827015214 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 54.

The spelling of 513136654425261 in words is "five hundred thirteen trillion, one hundred thirty-six billion, six hundred fifty-four million, four hundred twenty-five thousand, two hundred sixty-one".