5256825 has 96 divisors (see below), whose sum is σ = 11427840. Its totient is φ = 2073600.

The previous prime is 5256821. The next prime is 5256829. The reversal of 5256825 is 5286525.

It is an interprime number because it is at equal distance from previous prime (5256821) and next prime (5256829).

It is not a de Polignac number, because 5256825 - 2² = 5256821 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5256821) 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 95 ways as a sum of consecutive naturals, for example, 169560 + ... + 169590.

It is an arithmetic number, because the mean of its divisors is an integer number (119040).

Almost surely, 2^5256825 is an apocalyptic number.

It is an amenable number.

5256825 is an abundant number, since it is smaller than the sum of its proper divisors (6171015).

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

5256825 is a wasteful number, since it uses less digits than its factorization.

5256825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 82 counting only the distinct ones).

The product of its digits is 24000, while the sum is 33.

The square root of 5256825 is about 2292.7767008586. The cubic root of 5256825 is about 173.8766135425.

Adding to 5256825 its product of digits (24000), we get a palindrome (5280825).

The spelling of 5256825 in words is "five million, two hundred fifty-six thousand, eight hundred twenty-five".