51193 has 2 divisors, whose sum is σ = 51194. Its totient is φ = 51192.

The previous prime is 51169. The next prime is 51197. The reversal of 51193 is 39115.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29584 + 21609 = 172^2 + 147^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-51193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 51193.

It is not a weakly prime, because it can be changed into another prime (51197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25596 + 25597.

It is an arithmetic number, because the mean of its divisors is an integer number (25597).

2⁵¹¹⁹³ is an apocalyptic number.

It is an amenable number.

51193 is a deficient number, since it is larger than the sum of its proper divisors (1).

51193 is an equidigital number, since it uses as much as digits as its factorization.

51193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 135, while the sum is 19.

The square root of 51193 is about 226.2587014901. The cubic root of 51193 is about 37.1310183458.

The spelling of 51193 in words is "fifty-one thousand, one hundred ninety-three".