5257504 has 48 divisors (see below), whose sum is σ = 12096000. Its totient is φ = 2248512.

The previous prime is 5257493. The next prime is 5257517. The reversal of 5257504 is 4057525.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is a d-powerful number, because it can be written as 5⁷ + 2²¹ + 5⁷ + 7⁴ + 5⁹ + 0 + 4¹⁰ .

It is a congruent number.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 10737 + ... + 11215.

It is an arithmetic number, because the mean of its divisors is an integer number (252000).

Almost surely, 2^5257504 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 5257504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048000).

5257504 is an abundant number, since it is smaller than the sum of its proper divisors (6838496).

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

5257504 is an equidigital number, since it uses as much as digits as its factorization.

5257504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 28.

The square root of 5257504 is about 2292.9247698082. The cubic root of 5257504 is about 173.8840995020.

The spelling of 5257504 in words is "five million, two hundred fifty-seven thousand, five hundred four".