51085313 has 2 divisors, whose sum is σ = 51085314. Its totient is φ = 51085312.

The previous prime is 51085301. The next prime is 51085337. The reversal of 51085313 is 31358015.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 46895104 + 4190209 = 6848^2 + 2047^2 .

It is a cyclic number.

It is not a de Polignac number, because 51085313 - 2⁴ = 51085297 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (51085393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25542656 + 25542657.

It is an arithmetic number, because the mean of its divisors is an integer number (25542657).

It is a Proth number, since it is equal to 1559 ⋅ 2¹⁵ + 1 and 1559 < 2¹⁵.

Almost surely, 2^51085313 is an apocalyptic number.

It is an amenable number.

51085313 is a deficient number, since it is larger than the sum of its proper divisors (1).

51085313 is an equidigital number, since it uses as much as digits as its factorization.

51085313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 51085313 is about 7147.3990374121. The cubic root of 51085313 is about 371.0496442601.

The spelling of 51085313 in words is "fifty-one million, eighty-five thousand, three hundred thirteen".