51000605601100 has 36 divisors (see below), whose sum is σ = 111767069762208. Its totient is φ = 20198259640000.

The previous prime is 51000605600993. The next prime is 51000605601109. The reversal of 51000605601100 is 110650600015.

51000605601100 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 (25).

It is not an unprimeable number, because it can be changed into a prime (51000605601109) 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 11 ways as a sum of consecutive naturals, for example, 2524772356 + ... + 2524792555.

It is an arithmetic number, because the mean of its divisors is an integer number (3104640826728).

Almost surely, 2^{51000605601100} is an apocalyptic number.

51000605601100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51000605601100 is an abundant number, since it is smaller than the sum of its proper divisors (60766464161108).

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

51000605601100 is a wasteful number, since it uses less digits than its factorization.

51000605601100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5049565026 (or 5049565019 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

It can be divided in two parts, 51000 and 605601100, that added together give a square (605652100 = 24610²).

The spelling of 51000605601100 in words is "fifty-one trillion, six hundred five million, six hundred one thousand, one hundred".