516005172225 has 189 divisors, whose sum is σ = 1022347726923. Its totient is φ = 258186839040.

The previous prime is 516005172203. The next prime is 516005172227. The reversal of 516005172225 is 522271500615.

The square root of 516005172225 is 718335.

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

516005172225 is a `hidden beast` number, since 5 + 1 + 600 + 5 + 1 + 7 + 22 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 488378743281 + 27626428944 = 698841^2 + 166212^2 .

It is not a de Polignac number, because 516005172225 - 2⁷ = 516005172097 is a prime.

It is a super-2 number, since 2×516005172225² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 516005172225.

It is not an unprimeable number, because it can be changed into a prime (516005172227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 1648578669 + ... + 1648578981.

Almost surely, 2^516005172225 is an apocalyptic number.

516005172225 is the 718335-th square number.

516005172225 is the 359168-th centered octagonal number.

It is an amenable number.

516005172225 is a deficient number, since it is larger than the sum of its proper divisors (506342554698).

516005172225 is an frugal number, since it uses more digits than its factorization.

516005172225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

Multiplying 516005172225 by its sum of digits (36), we get a square (18576186200100 = 4310010²).

The spelling of 516005172225 in words is "five hundred sixteen billion, five million, one hundred seventy-two thousand, two hundred twenty-five".