129508576129 has 9 divisors (see below), whose sum is σ = 137581353417. Its totient is φ = 121884666624.

The previous prime is 129508576123. The next prime is 129508576133. The reversal of 129508576129 is 921675805921.

The square root of 129508576129 is 359873.

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 81438890625 + 48069685504 = 285375^2 + 219248^2 .

It is not a de Polignac number, because 129508576129 - 2²¹ = 129506478977 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 129508576129.

It is not an unprimeable number, because it can be changed into a prime (129508576123) 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, 6107257 + ... + 6128425.

Almost surely, 2^129508576129 is an apocalyptic number.

129508576129 is the 359873-rd square number.

129508576129 is the 179937-th centered octagonal number.

It is an amenable number.

129508576129 is a deficient number, since it is larger than the sum of its proper divisors (8072777288).

129508576129 is an frugal number, since it uses more digits than its factorization.

129508576129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42372 (or 21186 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 55.

The spelling of 129508576129 in words is "one hundred twenty-nine billion, five hundred eight million, five hundred seventy-six thousand, one hundred twenty-nine".