2072129161 has 2 divisors, whose sum is σ = 2072129162. Its totient is φ = 2072129160.

The previous prime is 2072129149. The next prime is 2072129203. The reversal of 2072129161 is 1619212702.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1814334025 + 257795136 = 42595^2 + 16056^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2072129161 is a prime.

It is not a weakly prime, because it can be changed into another prime (2072129261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1036064580 + 1036064581.

It is an arithmetic number, because the mean of its divisors is an integer number (1036064581).

Almost surely, 2^2072129161 is an apocalyptic number.

It is an amenable number.

2072129161 is a deficient number, since it is larger than the sum of its proper divisors (1).

2072129161 is an equidigital number, since it uses as much as digits as its factorization.

2072129161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 2072129161 is about 45520.6454369883. The cubic root of 2072129161 is about 1274.8887071382. Note that the first 3 decimals are identical.

The spelling of 2072129161 in words is "two billion, seventy-two million, one hundred twenty-nine thousand, one hundred sixty-one".