513620 has 24 divisors (see below), whose sum is σ = 1098888. Its totient is φ = 201600.

The previous prime is 513593. The next prime is 513631. The reversal of 513620 is 26315.

It can be written as a sum of positive squares in 4 ways, for example, as 56644 + 456976 = 238^2 + 676^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513620.

It is an unprimeable number.

513620 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 1010 + ... + 1430.

It is an arithmetic number, because the mean of its divisors is an integer number (45787).

2⁵¹³⁶²⁰ is an apocalyptic number.

It is an amenable number.

513620 is an abundant number, since it is smaller than the sum of its proper divisors (585268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513620 is a wasteful number, since it uses less digits than its factorization.

513620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 513620 is about 716.6728681902. The cubic root of 513620 is about 80.0842861668.

Adding to 513620 its reverse (26315), we get a palindrome (539935).

The spelling of 513620 in words is "five hundred thirteen thousand, six hundred twenty".