51006105505504 has 96 divisors (see below), whose sum is σ = 105235008611040. Its totient is φ = 24315435712512.

The previous prime is 51006105505501. The next prime is 51006105505603. The reversal of 51006105505504 is 40550550160015.

51006105505504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51006105505501) 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 15 ways as a sum of consecutive naturals, for example, 7126002 + ... + 12360910.

It is an arithmetic number, because the mean of its divisors is an integer number (1096198006365).

Almost surely, 2^{51006105505504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51006105505504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52617504305520).

51006105505504 is an abundant number, since it is smaller than the sum of its proper divisors (54228903105536).

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

51006105505504 is a wasteful number, since it uses less digits than its factorization.

51006105505504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5235132 (or 5235124 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 37.

Adding to 51006105505504 its reverse (40550550160015), we get a palindrome (91556655665519).

The spelling of 51006105505504 in words is "fifty-one trillion, six billion, one hundred five million, five hundred five thousand, five hundred four".