51253 has 4 divisors (see below), whose sum is σ = 51840. Its totient is φ = 50668.

The previous prime is 51241. The next prime is 51257. The reversal of 51253 is 35215.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 35215 = 5 ⋅7043.

It is a cyclic number.

It is not a de Polignac number, because 51253 - 2⁹ = 50741 is a prime.

It is a Duffinian number.

51253 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51257) 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 3 ways as a sum of consecutive naturals, for example, 133 + ... + 346.

It is an arithmetic number, because the mean of its divisors is an integer number (12960).

2⁵¹²⁵³ is an apocalyptic number.

It is an amenable number.

51253 is a deficient number, since it is larger than the sum of its proper divisors (587).

51253 is a wasteful number, since it uses less digits than its factorization.

51253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586.

The product of its digits is 150, while the sum is 16.

The square root of 51253 is about 226.3912542480. The cubic root of 51253 is about 37.1455189696.

Adding to 51253 its reverse (35215), we get a palindrome (86468).

It can be divided in two parts, 512 and 53, that added together give a palindrome (565).

The spelling of 51253 in words is "fifty-one thousand, two hundred fifty-three".