5202624 has 112 divisors (see below), whose sum is σ = 16256000. Its totient is φ = 1467648.

The previous prime is 5202619. The next prime is 5202641. The reversal of 5202624 is 4262025.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 5202624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65817 + ... + 65895.

Almost surely, 2^5202624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5202624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8128000).

5202624 is an abundant number, since it is smaller than the sum of its proper divisors (11053376).

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

5202624 is an equidigital number, since it uses as much as digits as its factorization.

5202624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 5202624 is about 2280.9261276946. The cubic root of 5202624 is about 173.2769573398.

Adding to 5202624 its reverse (4262025), we get a palindrome (9464649).

The spelling of 5202624 in words is "five million, two hundred two thousand, six hundred twenty-four".