5257008 has 80 divisors (see below), whose sum is σ = 15495040. Its totient is φ = 1705536.

The previous prime is 5257003. The next prime is 5257009. The reversal of 5257008 is 8007525.

It is a happy number.

It is a super-2 number, since 2×5257008² = 55272266224128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 18435 + ... + 18717.

It is an arithmetic number, because the mean of its divisors is an integer number (193688).

Almost surely, 2^5257008 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 5257008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7747520).

5257008 is an abundant number, since it is smaller than the sum of its proper divisors (10238032).

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

5257008 is a wasteful number, since it uses less digits than its factorization.

5257008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 331 counting only the distinct ones).

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

The square root of 5257008 is about 2292.8166084535. The cubic root of 5257008 is about 173.8786311768.

The spelling of 5257008 in words is "five million, two hundred fifty-seven thousand, eight".