510820 has 12 divisors (see below), whose sum is σ = 1072764. Its totient is φ = 204320.

The previous prime is 510817. The next prime is 510823. The reversal of 510820 is 28015.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (510817) and next prime (510823).

It can be written as a sum of positive squares in 2 ways, for example, as 206116 + 304704 = 454^2 + 552^2 .

It is a junction number, because it is equal to n+sod(n) for n = 510794 and 510803.

It is not an unprimeable number, because it can be changed into a prime (510823) 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, 12751 + ... + 12790.

It is an arithmetic number, because the mean of its divisors is an integer number (89397).

2⁵¹⁰⁸²⁰ is an apocalyptic number.

It is an amenable number.

510820 is an abundant number, since it is smaller than the sum of its proper divisors (561944).

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

510820 is a wasteful number, since it uses less digits than its factorization.

510820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25550 (or 25548 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 510820 is about 714.7167271024. The cubic root of 510820 is about 79.9384943920.

Adding to 510820 its reverse (28015), we get a palindrome (538835).

The spelling of 510820 in words is "five hundred ten thousand, eight hundred twenty".