129131064052225 has 27 divisors (see below), whose sum is σ = 160335644845243. Its totient is φ = 103167533680640.

The previous prime is 129131064052219. The next prime is 129131064052229. The reversal of 129131064052225 is 522250460131921.

The square root of 129131064052225 is 11363585.

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

It can be written as a sum of positive squares in 13 ways, for example, as 127911417702849 + 1219646349376 = 11309793^2 + 1104376^2 .

It is not a de Polignac number, because 129131064052225 - 2⁹ = 129131064051713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (129131064052229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 80056455519 + ... + 80056457131.

Almost surely, 2^{129131064052225} is an apocalyptic number.

129131064052225 is the 11363585-th square number.

129131064052225 is the 5681793-rd centered octagonal number.

It is an amenable number.

129131064052225 is a deficient number, since it is larger than the sum of its proper divisors (31204580793018).

129131064052225 is an frugal number, since it uses more digits than its factorization.

129131064052225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6054 (or 3027 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 129131064052225 in words is "one hundred twenty-nine trillion, one hundred thirty-one billion, sixty-four million, fifty-two thousand, two hundred twenty-five".