51712124409 has 45 divisors (see below), whose sum is σ = 84947013151. Its totient is φ = 31327037280.

The previous prime is 51712124389. The next prime is 51712124413. The reversal of 51712124409 is 90442121715.

The square root of 51712124409 is 227403.

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

51712124409 is a `hidden beast` number, since 517 + 12 + 124 + 4 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24312605625 + 27399518784 = 155925^2 + 165528^2 .

It is not a de Polignac number, because 51712124409 - 2¹¹ = 51712122361 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (51712124609) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 22511749 + ... + 22514045.

Almost surely, 2^51712124409 is an apocalyptic number.

51712124409 is the 227403-rd square number.

51712124409 is the 113702-nd centered octagonal number.

It is an amenable number.

51712124409 is a deficient number, since it is larger than the sum of its proper divisors (33234888742).

51712124409 is an frugal number, since it uses more digits than its factorization.

51712124409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4628 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Multiplying 51712124409 by its sum of digits (36), we get a square (1861636478724 = 1364418²).

It can be divided in two parts, 51712 and 124409, that added together give a triangular number (176121 = T₅₉₃).

The spelling of 51712124409 in words is "fifty-one billion, seven hundred twelve million, one hundred twenty-four thousand, four hundred nine".