51493 has 8 divisors (see below), whose sum is σ = 58968. Its totient is φ = 44544.

The previous prime is 51487. The next prime is 51503. The reversal of 51493 is 39415.

It can be written as a sum of positive squares in 4 ways, for example, as 1764 + 49729 = 42^2 + 223^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 51493 - 2⁵ = 51461 is a prime.

It is a plaindrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51413) 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 in 7 ways as a sum of consecutive naturals, for example, 105 + ... + 337.

It is an arithmetic number, because the mean of its divisors is an integer number (7371).

2⁵¹⁴⁹³ is an apocalyptic number.

It is an amenable number.

51493 is a deficient number, since it is larger than the sum of its proper divisors (7475).

51493 is a wasteful number, since it uses less digits than its factorization.

51493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263.

The product of its digits is 540, while the sum is 22.

The square root of 51493 is about 226.9206909914. The cubic root of 51493 is about 37.2034085596.

Adding to 51493 its sum of digits (22), we get a palindrome (51515).

The spelling of 51493 in words is "fifty-one thousand, four hundred ninety-three".