51331055522100 has 144 divisors (see below), whose sum is σ = 155397435260928. Its totient is φ = 13057462028160.

The previous prime is 51331055522011. The next prime is 51331055522113. The reversal of 51331055522100 is 122555013315.

It is a happy number.

51331055522100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51331055522100² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 7602964 + ... + 12667563.

Almost surely, 2^{51331055522100} is an apocalyptic number.

51331055522100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51331055522100 is an abundant number, since it is smaller than the sum of its proper divisors (104066379738828).

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

51331055522100 is a wasteful number, since it uses less digits than its factorization.

51331055522100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20270934 (or 20270927 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 51331055522100 in words is "fifty-one trillion, three hundred thirty-one billion, fifty-five million, five hundred twenty-two thousand, one hundred".