51257200 has 60 divisors (see below), whose sum is σ = 124238080. Its totient is φ = 20321280.

The previous prime is 51257189. The next prime is 51257249. The reversal of 51257200 is 275215.

51257200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50296 + ... + 51304.

Almost surely, 2^51257200 is an apocalyptic number.

51257200 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 51257200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62119040).

51257200 is an abundant number, since it is smaller than the sum of its proper divisors (72980880).

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

51257200 is a wasteful number, since it uses less digits than its factorization.

51257200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 51257200 is about 7159.4133837906. The cubic root of 51257200 is about 371.4653358931.

The spelling of 51257200 in words is "fifty-one million, two hundred fifty-seven thousand, two hundred".