513629 has 4 divisors (see below), whose sum is σ = 515676. Its totient is φ = 511584.

The previous prime is 513593. The next prime is 513631. The reversal of 513629 is 926315.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 240100 + 273529 = 490^2 + 523^2 .

It is a cyclic number.

It is not a de Polignac number, because 513629 - 2¹⁶ = 448093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 513598 and 513607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513649) 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 in 3 ways as a sum of consecutive naturals, for example, 584 + ... + 1169.

It is an arithmetic number, because the mean of its divisors is an integer number (128919).

It is a Poulet number, since it divides 2⁵¹³⁶²⁸-1.

2⁵¹³⁶²⁹ is an apocalyptic number.

It is an amenable number.

513629 is a deficient number, since it is larger than the sum of its proper divisors (2047).

513629 is a wasteful number, since it uses less digits than its factorization.

513629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046.

The product of its digits is 1620, while the sum is 26.

The square root of 513629 is about 716.6791471781. The cubic root of 513629 is about 80.0847539279.

Subtracting 513629 from its reverse (926315), we obtain a triangular number (412686 = T₉₀₈).

The spelling of 513629 in words is "five hundred thirteen thousand, six hundred twenty-nine".