517129 has 2 divisors, whose sum is σ = 517130. Its totient is φ = 517128.

The previous prime is 517091. The next prime is 517151. The reversal of 517129 is 921715.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 455625 + 61504 = 675^2 + 248^2 .

It is a cyclic number.

It is not a de Polignac number, because 517129 - 2⁹ = 516617 is a prime.

It is not a weakly prime, because it can be changed into another prime (517169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 258564 + 258565.

It is an arithmetic number, because the mean of its divisors is an integer number (258565).

2⁵¹⁷¹²⁹ is an apocalyptic number.

It is an amenable number.

517129 is a deficient number, since it is larger than the sum of its proper divisors (1).

517129 is an equidigital number, since it uses as much as digits as its factorization.

517129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 630, while the sum is 25.

The square root of 517129 is about 719.1168194390. The cubic root of 517129 is about 80.2662483315.

It can be divided in two parts, 517 and 129, that added together give a palindrome (646).

The spelling of 517129 in words is "five hundred seventeen thousand, one hundred twenty-nine".