51257800 has 96 divisors (see below), whose sum is σ = 135794880. Its totient is φ = 17811200.

The previous prime is 51257797. The next prime is 51257813. The reversal of 51257800 is 875215.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50094 + ... + 51106.

It is an arithmetic number, because the mean of its divisors is an integer number (1414530).

Almost surely, 2^51257800 is an apocalyptic number.

51257800 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 51257800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67897440).

51257800 is an abundant number, since it is smaller than the sum of its proper divisors (84537080).

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

51257800 is a wasteful number, since it uses less digits than its factorization.

51257800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 28.

The square root of 51257800 is about 7159.4552865424. The cubic root of 51257800 is about 371.4667853047.

It can be divided in two parts, 512 and 57800, that multiplied together give a square (29593600 = 5440²).

The spelling of 51257800 in words is "fifty-one million, two hundred fifty-seven thousand, eight hundred".