51006051106050 has 96 divisors (see below), whose sum is σ = 128353433604480. Its totient is φ = 13402147852800.

The previous prime is 51006051105983. The next prime is 51006051106051. The reversal of 51006051106050 is 5060115060015.

51006051106050 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 51006051105999 and 51006051106017.

It is not an unprimeable number, because it can be changed into a prime (51006051106051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8898811 + ... + 13461089.

It is an arithmetic number, because the mean of its divisors is an integer number (1337014933380).

Almost surely, 2^{51006051106050} is an apocalyptic number.

51006051106050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51006051106050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64176716802240).

51006051106050 is an abundant number, since it is smaller than the sum of its proper divisors (77347382498430).

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

51006051106050 is a wasteful number, since it uses less digits than its factorization.

51006051106050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4563388 (or 4563383 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

Adding to 51006051106050 its reverse (5060115060015), we get a palindrome (56066166166065).

The spelling of 51006051106050 in words is "fifty-one trillion, six billion, fifty-one million, one hundred six thousand, fifty".