5057000 has 64 divisors (see below), whose sum is σ = 12776400. Its totient is φ = 1862400.

The previous prime is 5056979. The next prime is 5057009. The reversal of 5057000 is 7505.

It can be written as a sum of positive squares in 8 ways, for example, as 119716 + 4937284 = 346^2 + 2222^2 .

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5057000.

It is not an unprimeable number, because it can be changed into a prime (5057009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12806 + ... + 13194.

Almost surely, 2^5057000 is an apocalyptic number.

5057000 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 5057000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6388200).

5057000 is an abundant number, since it is smaller than the sum of its proper divisors (7719400).

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

5057000 is a wasteful number, since it uses less digits than its factorization.

5057000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 17.

The square root of 5057000 is about 2248.7774456357. Note that the first 3 decimals coincide. The cubic root of 5057000 is about 171.6449318426.

The spelling of 5057000 in words is "five million, fifty-seven thousand".