51175938520512 has 672 divisors, whose sum is σ = 176630949069120. Its totient is φ = 13995107942400.

The previous prime is 51175938520463. The next prime is 51175938520513. The reversal of 51175938520512 is 21502583957115.

51175938520512 is a `hidden beast` number, since 5 + 1 + 1 + 7 + 59 + 385 + 205 + 1 + 2 = 666.

51175938520512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51175938520513) 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 95 ways as a sum of consecutive naturals, for example, 756995512 + ... + 757063112.

It is an arithmetic number, because the mean of its divisors is an integer number (262843674210).

Almost surely, 2^{51175938520512} is an apocalyptic number.

51175938520512 is a gapful number since it is divisible by the number (52) 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 51175938520512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88315474534560).

51175938520512 is an abundant number, since it is smaller than the sum of its proper divisors (125455010548608).

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

51175938520512 is a wasteful number, since it uses less digits than its factorization.

51175938520512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67981 (or 67968 counting only the distinct ones).

The product of its (nonzero) digits is 3780000, while the sum is 54.

The spelling of 51175938520512 in words is "fifty-one trillion, one hundred seventy-five billion, nine hundred thirty-eight million, five hundred twenty thousand, five hundred twelve".