515106208681 has 9 divisors (see below), whose sum is σ = 516982634469. Its totient is φ = 513236576736.

The previous prime is 515106208679. The next prime is 515106208717. The reversal of 515106208681 is 186802601515.

The square root of 515106208681 is 717709.

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

It can be written as a sum of positive squares in 4 ways, for example, as 327079904281 + 188026304400 = 571909^2 + 433620^2 .

It is not a de Polignac number, because 515106208681 - 2¹ = 515106208679 is a prime.

It is a super-2 number, since 2×515106208681² (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 (515106208081) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 224641771 + ... + 224644063.

It is an arithmetic number, because the mean of its divisors is an integer number (57442514941).

Almost surely, 2^515106208681 is an apocalyptic number.

515106208681 is the 717709-th square number.

515106208681 is the 358855-th centered octagonal number.

It is an amenable number.

515106208681 is a deficient number, since it is larger than the sum of its proper divisors (1876425788).

515106208681 is an frugal number, since it uses more digits than its factorization.

515106208681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5212 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 43.

The spelling of 515106208681 in words is "five hundred fifteen billion, one hundred six million, two hundred eight thousand, six hundred eighty-one".