51327410100 has 288 divisors, whose sum is σ = 159091067520. Its totient is φ = 12755957760.

The previous prime is 51327410083. The next prime is 51327410119. The reversal of 51327410100 is 101472315.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25295886 + ... + 25297914.

It is an arithmetic number, because the mean of its divisors is an integer number (552399540).

Almost surely, 2^51327410100 is an apocalyptic number.

51327410100 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 51327410100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79545533760).

51327410100 is an abundant number, since it is smaller than the sum of its proper divisors (107763657420).

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

51327410100 is a wasteful number, since it uses less digits than its factorization.

51327410100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

Adding to 51327410100 its reverse (101472315), we get a palindrome (51428882415).

The spelling of 51327410100 in words is "fifty-one billion, three hundred twenty-seven million, four hundred ten thousand, one hundred".