51875600 has 120 divisors (see below), whose sum is σ = 144657408. Its totient is φ = 17510400.

The previous prime is 51875569. The next prime is 51875609. The reversal of 51875600 is 657815.

It is not an unprimeable number, because it can be changed into a prime (51875609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271505 + ... + 271695.

Almost surely, 2^51875600 is an apocalyptic number.

51875600 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 51875600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72328704).

51875600 is an abundant number, since it is smaller than the sum of its proper divisors (92781808).

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

51875600 is a wasteful number, since it uses less digits than its factorization.

51875600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 51875600 is about 7202.4717979316. The cubic root of 51875600 is about 372.9532341755.

The spelling of 51875600 in words is "fifty-one million, eight hundred seventy-five thousand, six hundred".