51751345100 has 216 divisors, whose sum is σ = 141000069168. Its totient is φ = 16341696000.

The previous prime is 51751345091. The next prime is 51751345157. The reversal of 51751345100 is 154315715.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49239575 + ... + 49240625.

It is an arithmetic number, because the mean of its divisors is an integer number (652778098).

Almost surely, 2^51751345100 is an apocalyptic number.

51751345100 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 51751345100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70500034584).

51751345100 is an abundant number, since it is smaller than the sum of its proper divisors (89248724068).

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

51751345100 is a wasteful number, since it uses less digits than its factorization.

51751345100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 32.

The spelling of 51751345100 in words is "fifty-one billion, seven hundred fifty-one million, three hundred forty-five thousand, one hundred".