2006753129 has 2 divisors, whose sum is σ = 2006753130. Its totient is φ = 2006753128.

The previous prime is 2006753081. The next prime is 2006753131. The reversal of 2006753129 is 9213576002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2004621529 + 2131600 = 44773^2 + 1460^2 .

It is a cyclic number.

It is not a de Polignac number, because 2006753129 - 2¹⁶ = 2006687593 is a prime.

Together with 2006753131, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2006753149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1003376564 + 1003376565.

It is an arithmetic number, because the mean of its divisors is an integer number (1003376565).

Almost surely, 2^2006753129 is an apocalyptic number.

It is an amenable number.

2006753129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2006753129 is an equidigital number, since it uses as much as digits as its factorization.

2006753129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 2006753129 is about 44796.7982003178. The cubic root of 2006753129 is about 1261.3375250458.

The spelling of 2006753129 in words is "two billion, six million, seven hundred fifty-three thousand, one hundred twenty-nine".