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51105958361 is a prime number
BaseRepresentation
bin101111100110001001…
…110000100111011001
311212220122212200021122
4233212021300213121
51314131111131421
635251110015025
73456311323103
oct574611604731
9155818780248
1051105958361
111a745a87a27
129aa3347475
134a85c28763
14268b580573
1514e1a062ab
hexbe62709d9

51105958361 has 2 divisors, whose sum is σ = 51105958362. Its totient is φ = 51105958360.

The previous prime is 51105958357. The next prime is 51105958373. The reversal of 51105958361 is 16385950115.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39578715136 + 11527243225 = 198944^2 + 107365^2 .

It is a cyclic number.

It is not a de Polignac number, because 51105958361 - 22 = 51105958357 is a prime.

It is a super-2 number, since 2×511059583612 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (51105958261) 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 as a sum of consecutive naturals, namely, 25552979180 + 25552979181.

It is an arithmetic number, because the mean of its divisors is an integer number (25552979181).

Almost surely, 251105958361 is an apocalyptic number.

It is an amenable number.

51105958361 is a deficient number, since it is larger than the sum of its proper divisors (1).

51105958361 is an equidigital number, since it uses as much as digits as its factorization.

51105958361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162000, while the sum is 44.

The spelling of 51105958361 in words is "fifty-one billion, one hundred five million, nine hundred fifty-eight thousand, three hundred sixty-one".