218257129 has 2 divisors, whose sum is σ = 218257130. Its totient is φ = 218257128.

The previous prime is 218257099. The next prime is 218257139. The reversal of 218257129 is 921752812.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 185504400 + 32752729 = 13620^2 + 5723^2 .

It is a cyclic number.

It is not a de Polignac number, because 218257129 - 2¹³ = 218248937 is a prime.

It is not a weakly prime, because it can be changed into another prime (218257139) 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, 109128564 + 109128565.

It is an arithmetic number, because the mean of its divisors is an integer number (109128565).

Almost surely, 2^218257129 is an apocalyptic number.

It is an amenable number.

218257129 is a deficient number, since it is larger than the sum of its proper divisors (1).

218257129 is an equidigital number, since it uses as much as digits as its factorization.

218257129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20160, while the sum is 37.

The square root of 218257129 is about 14773.5279808176. The cubic root of 218257129 is about 602.0826965198.

The spelling of 218257129 in words is "two hundred eighteen million, two hundred fifty-seven thousand, one hundred twenty-nine".