51164025452100 has 216 divisors, whose sum is σ = 176023276726752. Its totient is φ = 12327305241600.

The previous prime is 51164025452003. The next prime is 51164025452101. The reversal of 51164025452100 is 125452046115.

51164025452100 is a `hidden beast` number, since 5 + 1 + 1 + 6 + 4 + 0 + 2 + 545 + 2 + 100 = 666.

51164025452100 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 (36).

It is not an unprimeable number, because it can be changed into a prime (51164025452101) 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 71 ways as a sum of consecutive naturals, for example, 14239317 + ... + 17466716.

Almost surely, 2^{51164025452100} is an apocalyptic number.

51164025452100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51164025452100 is an abundant number, since it is smaller than the sum of its proper divisors (124859251274652).

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

51164025452100 is a wasteful number, since it uses less digits than its factorization.

51164025452100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31706227 (or 31706217 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 51164025452100 its reverse (125452046115), we get a palindrome (51289477498215).

The spelling of 51164025452100 in words is "fifty-one trillion, one hundred sixty-four billion, twenty-five million, four hundred fifty-two thousand, one hundred".