2131766129 has 2 divisors, whose sum is σ = 2131766130. Its totient is φ = 2131766128.

The previous prime is 2131766071. The next prime is 2131766167. The reversal of 2131766129 is 9216671312.

It is an a-pointer prime, because the next prime (2131766167) can be obtained adding 2131766129 to its sum of digits (38).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1085373025 + 1046393104 = 32945^2 + 32348^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2131766129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2131766092 and 2131766101.

It is not a weakly prime, because it can be changed into another prime (2131766929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1065883064 + 1065883065.

It is an arithmetic number, because the mean of its divisors is an integer number (1065883065).

Almost surely, 2^2131766129 is an apocalyptic number.

It is an amenable number.

2131766129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131766129 is an equidigital number, since it uses as much as digits as its factorization.

2131766129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 27216, while the sum is 38.

The square root of 2131766129 is about 46171.0529336293. The cubic root of 2131766129 is about 1287.0038690940.

The spelling of 2131766129 in words is "two billion, one hundred thirty-one million, seven hundred sixty-six thousand, one hundred twenty-nine".