51314481729 has 135 divisors (see below), whose sum is σ = 91761524673. Its totient is φ = 27629045136.

The previous prime is 51314481727. The next prime is 51314481737. The reversal of 51314481729 is 92718441315.

The square root of 51314481729 is 226527.

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

51314481729 is a `hidden beast` number, since 5 + 1 + 31 + 448 + 172 + 9 = 666.

51314481729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 51314481729 - 2¹ = 51314481727 is a prime.

It is not an unprimeable number, because it can be changed into a prime (51314481721) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 765887754 + ... + 765887820.

Almost surely, 2^51314481729 is an apocalyptic number.

51314481729 is the 226527-th square number.

51314481729 is the 113264-th centered octagonal number.

It is an amenable number.

51314481729 is a deficient number, since it is larger than the sum of its proper divisors (40447042944).

51314481729 is an frugal number, since it uses more digits than its factorization.

51314481729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 100 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 51314481729 in words is "fifty-one billion, three hundred fourteen million, four hundred eighty-one thousand, seven hundred twenty-nine".