2566129 has 2 divisors, whose sum is σ = 2566130. Its totient is φ = 2566128.

The previous prime is 2566127. The next prime is 2566139. The reversal of 2566129 is 9216652.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2146225 + 419904 = 1465^2 + 648^2 .

It is a cyclic number.

It is not a de Polignac number, because 2566129 - 2¹ = 2566127 is a prime.

Together with 2566127, it forms a pair of twin primes.

It is a Chen prime.

2566129 is a lucky number.

It is equal to p₁₈₇₅₄₆ and since 2566129 and 187546 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2566129.

It is not a weakly prime, because it can be changed into another prime (2566127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1283064 + 1283065.

It is an arithmetic number, because the mean of its divisors is an integer number (1283065).

2^2566129 is an apocalyptic number.

It is an amenable number.

2566129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2566129 is an equidigital number, since it uses as much as digits as its factorization.

2566129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6480, while the sum is 31.

The square root of 2566129 is about 1601.9141674884. The cubic root of 2566129 is about 136.9071600029.

The spelling of 2566129 in words is "two million, five hundred sixty-six thousand, one hundred twenty-nine".