51560050100 has 72 divisors (see below), whose sum is σ = 120551789400. Its totient is φ = 19028090880.

The previous prime is 51560050099. The next prime is 51560050117. The reversal of 51560050100 is 105006515.

51560050100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 1166085904 + 50393964196 = 34148^2 + 224486^2 .

It is a congruent number.

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, 2946176 + ... + 2963624.

Almost surely, 2^51560050100 is an apocalyptic number.

51560050100 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 51560050100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60275894700).

51560050100 is an abundant number, since it is smaller than the sum of its proper divisors (68991739300).

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

51560050100 is a wasteful number, since it uses less digits than its factorization.

51560050100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19749 (or 19742 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

Adding to 51560050100 its reverse (105006515), we get a palindrome (51665056615).

The spelling of 51560050100 in words is "fifty-one billion, five hundred sixty million, fifty thousand, one hundred".