51142650685281 has 27 divisors (see below), whose sum is σ = 76710947416051. Its totient is φ = 34094714280768.

The previous prime is 51142650685279. The next prime is 51142650685289. The reversal of 51142650685281 is 18258605624115.

It is a happy number.

The square root of 51142650685281 is 7151409.

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

51142650685281 is a `hidden beast` number, since 5 + 1 + 1 + 4 + 2 + 6 + 50 + 68 + 528 + 1 = 666.

51142650685281 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., 44373703726881 + 6768946958400 = 6661359^2 + 2601720^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 51142650685281 - 2¹ = 51142650685279 is a prime.

It is a super-2 number, since 2×51142650685281² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51142650685289) 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 26 ways as a sum of consecutive naturals, for example, 579219985 + ... + 579308273.

Almost surely, 2^{51142650685281} is an apocalyptic number.

51142650685281 is the 7151409-th square number.

51142650685281 is the 3575705-th centered octagonal number.

It is an amenable number.

51142650685281 is a deficient number, since it is larger than the sum of its proper divisors (25568296730770).

51142650685281 is an frugal number, since it uses more digits than its factorization.

51142650685281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176602 (or 88292 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 51142650685281 in words is "fifty-one trillion, one hundred forty-two billion, six hundred fifty million, six hundred eighty-five thousand, two hundred eighty-one".