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51359797129 = 172133312
BaseRepresentation
bin101111110101010010…
…000100111110001001
311220120100112000121111
4233311102010332021
51320141102002004
635332214410321
73465513033604
oct576522047611
9156510460544
1051359797129
111a8662a2833
129b543609a1
134ac66b3504
1426b317933b
151508e47a04
hexbf5484f89

51359797129 has 9 divisors (see below), whose sum is σ = 54562770151. Its totient is φ = 48335006560.

The previous prime is 51359797117. The next prime is 51359797133. The reversal of 51359797129 is 92179795315.

The square root of 51359797129 is 226627.

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., 39986001225 + 11373795904 = 199965^2 + 106648^2 .

It is not a de Polignac number, because 51359797129 - 213 = 51359788937 is a prime.

It is a super-3 number, since 3×513597971293 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51359797109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3845994 + ... + 3859324.

Almost surely, 251359797129 is an apocalyptic number.

51359797129 is the 226627-th square number.

51359797129 is the 113314-th centered octagonal number.

It is an amenable number.

51359797129 is a deficient number, since it is larger than the sum of its proper divisors (3202973022).

51359797129 is an frugal number, since it uses more digits than its factorization.

51359797129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26696 (or 13348 counting only the distinct ones).

The product of its digits is 5358150, while the sum is 58.

The spelling of 51359797129 in words is "fifty-one billion, three hundred fifty-nine million, seven hundred ninety-seven thousand, one hundred twenty-nine".

Divisors: 1 17 289 13331 226627 3852659 177715561 3021164537 51359797129