5257800 has 144 divisors (see below), whose sum is σ = 18570240. Its totient is φ = 1330560.

The previous prime is 5257793. The next prime is 5257807. The reversal of 5257800 is 87525.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5257793) and next prime (5257807).

It is not an unprimeable number, because it can be changed into a prime (5257807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41337 + ... + 41463.

It is an arithmetic number, because the mean of its divisors is an integer number (128960).

Almost surely, 2^5257800 is an apocalyptic number.

5257800 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 5257800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9285120).

5257800 is an abundant number, since it is smaller than the sum of its proper divisors (13312440).

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

5257800 is a wasteful number, since it uses less digits than its factorization.

5257800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 5257800 is about 2292.9893152826. The cubic root of 5257800 is about 173.8873626936.

The spelling of 5257800 in words is "five million, two hundred fifty-seven thousand, eight hundred".