51006101060600 has 192 divisors, whose sum is σ = 136037464949760. Its totient is φ = 17422487769600.

The previous prime is 51006101060597. The next prime is 51006101060647. The reversal of 51006101060600 is 606010160015.

51006101060600 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 51006101060600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 512208815 + ... + 512308385.

It is an arithmetic number, because the mean of its divisors is an integer number (708528463280).

Almost surely, 2^{51006101060600} is an apocalyptic number.

51006101060600 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 51006101060600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68018732474880).

51006101060600 is an abundant number, since it is smaller than the sum of its proper divisors (85031363889160).

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

51006101060600 is a wasteful number, since it uses less digits than its factorization.

51006101060600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100958 (or 100949 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The spelling of 51006101060600 in words is "fifty-one trillion, six billion, one hundred one million, sixty thousand, six hundred".