51517196676 has 243 divisors, whose sum is σ = 151908178149. Its totient is φ = 14707915200.

The previous prime is 51517196659. The next prime is 51517196677. The reversal of 51517196676 is 67669171515.

The square root of 51517196676 is 226974.

It is a perfect power (a square), and thus also a powerful number.

51517196676 is a `hidden beast` number, since 51 + 517 + 1 + 9 + 6 + 6 + 76 = 666.

51517196676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 567678276 + 50949518400 = 23826^2 + 225720^2 .

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

Its product of digits (2381400) is a multiple of the sum of its prime divisors (216).

It is not an unprimeable number, because it can be changed into a prime (51517196677) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 284625306 + ... + 284625486.

Almost surely, 2^51517196676 is an apocalyptic number.

51517196676 is the 226974-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51517196676

51517196676 is an abundant number, since it is smaller than the sum of its proper divisors (100390981473).

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

51517196676 is a wasteful number, since it uses less digits than its factorization.

51517196676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 216 counting only the distinct ones).

The product of its digits is 2381400, while the sum is 54.

The spelling of 51517196676 in words is "fifty-one billion, five hundred seventeen million, one hundred ninety-six thousand, six hundred seventy-six".