5210624 has 20 divisors (see below), whose sum is σ = 10412094. Its totient is φ = 2605056.

The previous prime is 5210609. The next prime is 5210629. The reversal of 5210624 is 4260125.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 4129024 + 1081600 = 2032^2 + 1040^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5210596 and 5210605.

It is not an unprimeable number, because it can be changed into a prime (5210629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4577 + ... + 5600.

Almost surely, 2^5210624 is an apocalyptic number.

It is an amenable number.

5210624 is a deficient number, since it is larger than the sum of its proper divisors (5201470).

5210624 is an equidigital number, since it uses as much as digits as its factorization.

5210624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10195 (or 10179 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 5210624 is about 2282.6791276918. The cubic root of 5210624 is about 173.3657270160.

Adding to 5210624 its reverse (4260125), we get a palindrome (9470749).

The spelling of 5210624 in words is "five million, two hundred ten thousand, six hundred twenty-four".