51715800 has 192 divisors, whose sum is σ = 182205600. Its totient is φ = 13478400.

The previous prime is 51715747. The next prime is 51715823. The reversal of 51715800 is 851715.

51715800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 329322 + ... + 329478.

Almost surely, 2^51715800 is an apocalyptic number.

51715800 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 51715800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91102800).

51715800 is an abundant number, since it is smaller than the sum of its proper divisors (130489800).

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

51715800 is a wasteful number, since it uses less digits than its factorization.

51715800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

The square root of 51715800 is about 7191.3698277866. The cubic root of 51715800 is about 372.5698861414.

The spelling of 51715800 in words is "fifty-one million, seven hundred fifteen thousand, eight hundred".