51008750100 has 648 divisors, whose sum is σ = 205892197056. Its totient is φ = 10442880000.

The previous prime is 51008750069. The next prime is 51008750113. The reversal of 51008750100 is 105780015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 34441360 + ... + 34442840.

It is an arithmetic number, because the mean of its divisors is an integer number (317734872).

Almost surely, 2^51008750100 is an apocalyptic number.

51008750100 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 51008750100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102946098528).

51008750100 is an abundant number, since it is smaller than the sum of its proper divisors (154883446956).

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

51008750100 is a wasteful number, since it uses less digits than its factorization.

51008750100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1580 counting only the distinct ones).

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

It can be divided in two parts, 51008 and 750100, that added together give a palindrome (801108).

The spelling of 51008750100 in words is "fifty-one billion, eight million, seven hundred fifty thousand, one hundred".