51133 has 2 divisors, whose sum is σ = 51134. Its totient is φ = 51132.

The previous prime is 51131. The next prime is 51137. The reversal of 51133 is 33115.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 49284 + 1849 = 222^2 + 43^2 .

It is a cyclic number.

It is not a de Polignac number, because 51133 - 2¹ = 51131 is a prime.

It is a super-2 number, since 2×51133² = 5229167378, which contains 22 as substring.

Together with 51131, 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 (51131) by changing a digit.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25566 + 25567.

It is an arithmetic number, because the mean of its divisors is an integer number (25567).

2⁵¹¹³³ is an apocalyptic number.

It is an amenable number.

51133 is a deficient number, since it is larger than the sum of its proper divisors (1).

51133 is an equidigital number, since it uses as much as digits as its factorization.

51133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45, while the sum is 13.

The square root of 51133 is about 226.1260710312. The cubic root of 51133 is about 37.1165063875.

Adding to 51133 its reverse (33115), we get a palindrome (84248).

It can be divided in two parts, 5 and 1133, that multiplied together give a palindrome (5665).

The spelling of 51133 in words is "fifty-one thousand, one hundred thirty-three".