513789337681 has 9 divisors (see below), whose sum is σ = 522688252891. Its totient is φ = 505039469944.

The previous prime is 513789337657. The next prime is 513789337751. The reversal of 513789337681 is 186733987315.

It is a happy number.

The square root of 513789337681 is 716791.

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., 505533798081 + 8255539600 = 711009^2 + 90860^2 .

It is not a de Polignac number, because 513789337681 - 2²¹ = 513787240529 is a prime.

It is a super-2 number, since 2×513789337681² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513789337781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 42284595 + ... + 42296743.

Almost surely, 2^513789337681 is an apocalyptic number.

513789337681 is the 716791-st square number.

513789337681 is the 358396-th centered octagonal number.

It is an amenable number.

513789337681 is a deficient number, since it is larger than the sum of its proper divisors (8898915210).

513789337681 is an frugal number, since it uses more digits than its factorization.

513789337681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24416 (or 12208 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 61.

The spelling of 513789337681 in words is "five hundred thirteen billion, seven hundred eighty-nine million, three hundred thirty-seven thousand, six hundred eighty-one".