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51580813 is a prime number
BaseRepresentation
bin1100010011000…
…0111110001101
310121001120120111
43010300332031
5101201041223
65041320021
71164300244
oct304607615
9117046514
1051580813
1127130479
1215336011
13a8bcabb
146bc995b
1547dd30d
hex3130f8d

51580813 has 2 divisors, whose sum is σ = 51580814. Its totient is φ = 51580812.

The previous prime is 51580811. The next prime is 51580831. The reversal of 51580813 is 31808515.

51580813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (51580831) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 48748324 + 2832489 = 6982^2 + 1683^2 .

It is a cyclic number.

It is not a de Polignac number, because 51580813 - 21 = 51580811 is a prime.

Together with 51580811, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51580811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25790406 + 25790407.

It is an arithmetic number, because the mean of its divisors is an integer number (25790407).

Almost surely, 251580813 is an apocalyptic number.

It is an amenable number.

51580813 is a deficient number, since it is larger than the sum of its proper divisors (1).

51580813 is an equidigital number, since it uses as much as digits as its factorization.

51580813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4800, while the sum is 31.

The square root of 51580813 is about 7181.9783486168. The cubic root of 51580813 is about 372.2454468550.

The spelling of 51580813 in words is "fifty-one million, five hundred eighty thousand, eight hundred thirteen".