129033257592961 has 2 divisors, whose sum is σ = 129033257592962. Its totient is φ = 129033257592960.

The previous prime is 129033257592923. The next prime is 129033257593027. The reversal of 129033257592961 is 169295752330921.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66085599783025 + 62947657809936 = 8129305^2 + 7933956^2 .

It is a cyclic number.

It is not a de Polignac number, because 129033257592961 - 2¹³ = 129033257584769 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 129033257592893 and 129033257592902.

It is not a weakly prime, because it can be changed into another prime (129033257592901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 64516628796480 + 64516628796481.

It is an arithmetic number, because the mean of its divisors is an integer number (64516628796481).

Almost surely, 2^{129033257592961} is an apocalyptic number.

It is an amenable number.

129033257592961 is a deficient number, since it is larger than the sum of its proper divisors (1).

129033257592961 is an equidigital number, since it uses as much as digits as its factorization.

129033257592961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55112400, while the sum is 64.

The spelling of 129033257592961 in words is "one hundred twenty-nine trillion, thirty-three billion, two hundred fifty-seven million, five hundred ninety-two thousand, nine hundred sixty-one".