129366105625 has 15 divisors (see below), whose sum is σ = 161667122617. Its totient is φ = 103485691000.

The previous prime is 129366105607. The next prime is 129366105637. The reversal of 129366105625 is 526501663921.

The square root of 129366105625 is 359675.

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

It can be written as a sum of positive squares in 2 ways, for example, as 10142302681 + 119223802944 = 100709^2 + 345288^2 .

It is not a de Polignac number, because 129366105625 - 2⁵ = 129366105593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8984682 + ... + 8999068.

Almost surely, 2^129366105625 is an apocalyptic number.

129366105625 is the 359675-th square number.

129366105625 is the 179838-th centered octagonal number.

It is an amenable number.

129366105625 is a deficient number, since it is larger than the sum of its proper divisors (32301016992).

129366105625 is an frugal number, since it uses more digits than its factorization.

129366105625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28794 (or 14392 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 46.

The spelling of 129366105625 in words is "one hundred twenty-nine billion, three hundred sixty-six million, one hundred five thousand, six hundred twenty-five".