129793752361 has 81 divisors (see below), whose sum is σ = 169615351269. Its totient is φ = 98984628288.

The previous prime is 129793752359. The next prime is 129793752371. The reversal of 129793752361 is 163257397921.

The square root of 129793752361 is 360269.

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 539121961 + 129254630400 = 23219^2 + 359520^2 .

It is not a de Polignac number, because 129793752361 - 2¹ = 129793752359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (129793752371) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1213025670 + ... + 1213025776.

Almost surely, 2^129793752361 is an apocalyptic number.

129793752361 is the 360269-th square number.

129793752361 is the 180135-th centered octagonal number.

It is an amenable number.

129793752361 is a deficient number, since it is larger than the sum of its proper divisors (39821598908).

129793752361 is an equidigital number, since it uses as much as digits as its factorization.

129793752361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 164 counting only the distinct ones).

The product of its digits is 4286520, while the sum is 55.

The spelling of 129793752361 in words is "one hundred twenty-nine billion, seven hundred ninety-three million, seven hundred fifty-two thousand, three hundred sixty-one".