51252 has 12 divisors (see below), whose sum is σ = 119616. Its totient is φ = 17080.

The previous prime is 51241. The next prime is 51257. The reversal of 51252 is 25215.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51257) by changing a digit.

51252 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2124 + ... + 2147.

It is an arithmetic number, because the mean of its divisors is an integer number (9968).

2⁵¹²⁵² is an apocalyptic number.

It is an amenable number.

51252 is an abundant number, since it is smaller than the sum of its proper divisors (68364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59808).

51252 is a wasteful number, since it uses less digits than its factorization.

51252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4278 (or 4276 counting only the distinct ones).

The product of its digits is 100, while the sum is 15.

The square root of 51252 is about 226.3890456714. The cubic root of 51252 is about 37.1452773853.

Adding to 51252 its reverse (25215), we get a palindrome (76467).

It can be divided in two parts, 51 and 252, that added together give a palindrome (303).

The spelling of 51252 in words is "fifty-one thousand, two hundred fifty-two".