51893 has 2 divisors, whose sum is σ = 51894. Its totient is φ = 51892.

The previous prime is 51871. The next prime is 51899. The reversal of 51893 is 39815.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33124 + 18769 = 182^2 + 137^2 .

It is a cyclic number.

It is not a de Polignac number, because 51893 - 2⁶ = 51829 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51899) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25946 + 25947.

It is an arithmetic number, because the mean of its divisors is an integer number (25947).

2⁵¹⁸⁹³ is an apocalyptic number.

It is an amenable number.

51893 is a deficient number, since it is larger than the sum of its proper divisors (1).

51893 is an equidigital number, since it uses as much as digits as its factorization.

51893 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1080, while the sum is 26.

The square root of 51893 is about 227.8003511850. The cubic root of 51893 is about 37.2994927900.

The spelling of 51893 in words is "fifty-one thousand, eight hundred ninety-three".