51827371969129 has 9 divisors (see below), whose sum is σ = 52308006633687. Its totient is φ = 51351113987064.

The previous prime is 51827371969117. The next prime is 51827371969169. The reversal of 51827371969129 is 92196917372815.

The square root of 51827371969129 is 7199123.

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

It can be written as a sum of positive squares in only one way, i.e., 36123429616729 + 15703942352400 = 6010277^2 + 3962820^2 .

It is not a de Polignac number, because 51827371969129 - 2¹¹ = 51827371967081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51827371969169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 784671384 + ... + 784737430.

Almost surely, 2^{51827371969129} is an apocalyptic number.

51827371969129 is the 7199123-rd square number.

51827371969129 is the 3599562-nd centered octagonal number.

It is an amenable number.

51827371969129 is a deficient number, since it is larger than the sum of its proper divisors (480634664558).

51827371969129 is an frugal number, since it uses more digits than its factorization.

51827371969129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132312 (or 66156 counting only the distinct ones).

The product of its digits is 102876480, while the sum is 70.

The spelling of 51827371969129 in words is "fifty-one trillion, eight hundred twenty-seven billion, three hundred seventy-one million, nine hundred sixty-nine thousand, one hundred twenty-nine".