5257000 has 64 divisors (see below), whose sum is σ = 14077440. Its totient is φ = 1800000.

The previous prime is 5256989. The next prime is 5257003. The reversal of 5257000 is 7525.

5257000 = T₄₀₅ + T₄₀₆ + ... + T₄₆₀.

It is a happy number.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5257003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6625 + ... + 7375.

It is an arithmetic number, because the mean of its divisors is an integer number (219960).

Almost surely, 2^5257000 is an apocalyptic number.

5257000 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 5257000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7038720).

5257000 is an abundant number, since it is smaller than the sum of its proper divisors (8820440).

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

5257000 is a wasteful number, since it uses less digits than its factorization.

5257000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 19.

The square root of 5257000 is about 2292.8148638737. The cubic root of 5257000 is about 173.8785429752.

The spelling of 5257000 in words is "five million, two hundred fifty-seven thousand".