5257600 has 96 divisors (see below), whose sum is σ = 13659840. Its totient is φ = 1996800.

The previous prime is 5257597. The next prime is 5257619. The reversal of 5257600 is 67525.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 11 ways as a sum of consecutive naturals, for example, 99174 + ... + 99226.

It is an arithmetic number, because the mean of its divisors is an integer number (142290).

Almost surely, 2^5257600 is an apocalyptic number.

5257600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6829920).

5257600 is an abundant number, since it is smaller than the sum of its proper divisors (8402240).

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

5257600 is a wasteful number, since it uses less digits than its factorization.

5257600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 5257600 is about 2292.9457036746. The cubic root of 5257600 is about 173.8851578478.

The spelling of 5257600 in words is "five million, two hundred fifty-seven thousand, six hundred".