513686124961 has 9 divisors (see below), whose sum is σ = 523599906739. Its totient is φ = 503956664536.

The previous prime is 513686124953. The next prime is 513686124967. The reversal of 513686124961 is 169421686315.

It is a happy number.

The square root of 513686124961 is 716719.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 370314846225 + 143371278736 = 608535^2 + 378644^2 .

It is not a de Polignac number, because 513686124961 - 2³ = 513686124953 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 513686124899 and 513686124908.

It is not an unprimeable number, because it can be changed into a prime (513686124967) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 37979346 + ... + 37992868.

Almost surely, 2^513686124961 is an apocalyptic number.

513686124961 is the 716719-th square number.

513686124961 is the 358360-th centered octagonal number.

It is an amenable number.

513686124961 is a deficient number, since it is larger than the sum of its proper divisors (9913781778).

513686124961 is an frugal number, since it uses more digits than its factorization.

513686124961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27152 (or 13576 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 52.

The spelling of 513686124961 in words is "five hundred thirteen billion, six hundred eighty-six million, one hundred twenty-four thousand, nine hundred sixty-one".