29955210829961 has 2 divisors, whose sum is σ = 29955210829962. Its totient is φ = 29955210829960.

The previous prime is 29955210829919. The next prime is 29955210829967. The reversal of 29955210829961 is 16992801255992.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27370894158400 + 2584316671561 = 5231720^2 + 1607581^2 .

It is a cyclic number.

It is not a de Polignac number, because 29955210829961 - 2¹⁰ = 29955210828937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 29955210829891 and 29955210829900.

It is not a weakly prime, because it can be changed into another prime (29955210829967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14977605414980 + 14977605414981.

It is an arithmetic number, because the mean of its divisors is an integer number (14977605414981).

Almost surely, 2^{29955210829961} is an apocalyptic number.

It is an amenable number.

29955210829961 is a deficient number, since it is larger than the sum of its proper divisors (1).

29955210829961 is an equidigital number, since it uses as much as digits as its factorization.

29955210829961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62985600, while the sum is 68.

The spelling of 29955210829961 in words is "twenty-nine trillion, nine hundred fifty-five billion, two hundred ten million, eight hundred twenty-nine thousand, nine hundred sixty-one".