5051600 has 60 divisors (see below), whose sum is σ = 12373836. Its totient is φ = 1981440.

The previous prime is 5051581. The next prime is 5051603. The reversal of 5051600 is 61505.

It can be written as a sum of positive squares in 6 ways, for example, as 87616 + 4963984 = 296^2 + 2228^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5051603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29114 + ... + 29286.

Almost surely, 2^5051600 is an apocalyptic number.

5051600 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 5051600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6186918).

5051600 is an abundant number, since it is smaller than the sum of its proper divisors (7322236).

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

5051600 is a wasteful number, since it uses less digits than its factorization.

5051600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 5051600 is about 2247.5764725588. The cubic root of 5051600 is about 171.5838143985.

The spelling of 5051600 in words is "five million, fifty-one thousand, six hundred".