5210820 has 36 divisors (see below), whose sum is σ = 15806700. Its totient is φ = 1389504.

The previous prime is 5210773. The next prime is 5210827. The reversal of 5210820 is 280125.

It can be written as a sum of positive squares in 2 ways, for example, as 3992004 + 1218816 = 1998^2 + 1104^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5210793 and 5210802.

It is not an unprimeable number, because it can be changed into a prime (5210827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14295 + ... + 14654.

It is an arithmetic number, because the mean of its divisors is an integer number (439075).

Almost surely, 2^5210820 is an apocalyptic number.

It is an amenable number.

5210820 is an abundant number, since it is smaller than the sum of its proper divisors (10595880).

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

5210820 is a wasteful number, since it uses less digits than its factorization.

5210820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28964 (or 28959 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 5210820 is about 2282.7220592968. The cubic root of 5210820 is about 173.3679007324.

Adding to 5210820 its reverse (280125), we get a palindrome (5490945).

The spelling of 5210820 in words is "five million, two hundred ten thousand, eight hundred twenty".