513396611289 has 15 divisors (see below), whose sum is σ = 766935435343. Its totient is φ = 342260108424.

The previous prime is 513396611207. The next prime is 513396611359. The reversal of 513396611289 is 982116693315.

The square root of 513396611289 is 716517.

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

513396611289 is a `hidden beast` number, since 5 + 13 + 3 + 9 + 6 + 611 + 2 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 322382025 + 513074229264 = 17955^2 + 716292^2 .

It is not a de Polignac number, because 513396611289 - 2¹¹ = 513396609241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513396661289) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6408847 + ... + 6488459.

Almost surely, 2^513396611289 is an apocalyptic number.

513396611289 is the 716517-th square number.

513396611289 is the 358259-th centered octagonal number.

It is an amenable number.

513396611289 is a deficient number, since it is larger than the sum of its proper divisors (253538824054).

513396611289 is an frugal number, since it uses more digits than its factorization.

513396611289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159238 (or 79616 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The spelling of 513396611289 in words is "five hundred thirteen billion, three hundred ninety-six million, six hundred eleven thousand, two hundred eighty-nine".