513429 has 16 divisors (see below), whose sum is σ = 817152. Its totient is φ = 280368.

The previous prime is 513427. The next prime is 513431. The reversal of 513429 is 924315.

513429 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (513427) and next prime (513431).

It is not a de Polignac number, because 513429 - 2¹ = 513427 is a prime.

513429 is strictly pandigital in base 7.

It is a Curzon number.

513429 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 513399 and 513408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49 + ... + 1014.

It is an arithmetic number, because the mean of its divisors is an integer number (51072).

2⁵¹³⁴²⁹ is an apocalyptic number.

It is an amenable number.

513429 is a deficient number, since it is larger than the sum of its proper divisors (303723).

513429 is a wasteful number, since it uses less digits than its factorization.

513429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096.

The product of its digits is 1080, while the sum is 24.

The square root of 513429 is about 716.5396011387. The cubic root of 513429 is about 80.0743579481.

The spelling of 513429 in words is "five hundred thirteen thousand, four hundred twenty-nine".