5256624 has 40 divisors (see below), whose sum is σ = 13731760. Its totient is φ = 1732608.

The previous prime is 5256623. The next prime is 5256649. The reversal of 5256624 is 4266525.

It is a junction number, because it is equal to n+sod(n) for n = 5256591 and 5256600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5256623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4092 + ... + 5220.

It is an arithmetic number, because the mean of its divisors is an integer number (343294).

Almost surely, 2^5256624 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 5256624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6865880).

5256624 is an abundant number, since it is smaller than the sum of its proper divisors (8475136).

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

5256624 is a wasteful number, since it uses less digits than its factorization.

5256624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1231 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 5256624 is about 2292.7328671260. The cubic root of 5256624 is about 173.8743973984.

Subtracting from 5256624 its reverse (4266525), we obtain a palindrome (990099).

The spelling of 5256624 in words is "five million, two hundred fifty-six thousand, six hundred twenty-four".