51513703268688 has 60 divisors (see below), whose sum is σ = 149138092090260. Its totient is φ = 16579122889728.

The previous prime is 51513703268647. The next prime is 51513703268693. The reversal of 51513703268688 is 88686230731515.

51513703268688 is a `hidden beast` number, since 5 + 1 + 513 + 7 + 0 + 32 + 6 + 8 + 6 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31277308982544 + 20236394286144 = 5592612^2 + 4498488^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6167824281 + ... + 6167832632.

It is an arithmetic number, because the mean of its divisors is an integer number (2485634868171).

Almost surely, 2^{51513703268688} is an apocalyptic number.

51513703268688 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

51513703268688 is an abundant number, since it is smaller than the sum of its proper divisors (97624388821572).

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

51513703268688 is a wasteful number, since it uses less digits than its factorization.

51513703268688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12335656956 (or 12335656947 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 51513703268688 in words is "fifty-one trillion, five hundred thirteen billion, seven hundred three million, two hundred sixty-eight thousand, six hundred eighty-eight".