513129 has 4 divisors (see below), whose sum is σ = 684176. Its totient is φ = 342084.

The previous prime is 513109. The next prime is 513131. The reversal of 513129 is 921315.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 513129 - 2⁷ = 513001 is a prime.

It is an Ulam number.

It is a D-number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85519 + ... + 85524.

It is an arithmetic number, because the mean of its divisors is an integer number (171044).

2⁵¹³¹²⁹ is an apocalyptic number.

It is an amenable number.

513129 is a deficient number, since it is larger than the sum of its proper divisors (171047).

513129 is a wasteful number, since it uses less digits than its factorization.

513129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171046.

The product of its digits is 270, while the sum is 21.

The square root of 513129 is about 716.3302311085. The cubic root of 513129 is about 80.0587589151.

The spelling of 513129 in words is "five hundred thirteen thousand, one hundred twenty-nine".