516129 has 8 divisors (see below), whose sum is σ = 704352. Its totient is φ = 336000.

The previous prime is 516127. The next prime is 516151. The reversal of 516129 is 921615.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 516129 - 2¹ = 516127 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 516099 and 516108.

It is not an unprimeable number, because it can be changed into a prime (516127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1872 + ... + 2129.

It is an arithmetic number, because the mean of its divisors is an integer number (88044).

2⁵¹⁶¹²⁹ is an apocalyptic number.

It is an amenable number.

516129 is a deficient number, since it is larger than the sum of its proper divisors (188223).

516129 is a wasteful number, since it uses less digits than its factorization.

516129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4047.

The product of its digits is 540, while the sum is 24.

The square root of 516129 is about 718.4211856564. The cubic root of 516129 is about 80.2144765670.

It can be divided in two parts, 516 and 129, that multiplied together give a square (66564 = 258²).

The spelling of 516129 in words is "five hundred sixteen thousand, one hundred twenty-nine".