51652 has 12 divisors (see below), whose sum is σ = 93100. Its totient is φ = 25056.

The previous prime is 51647. The next prime is 51659. The reversal of 51652 is 25615.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 42436 + 9216 = 206^2 + 96^2 .

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (51659) by changing a digit.

51652 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 27 + ... + 322.

2⁵¹⁶⁵² is an apocalyptic number.

It is an amenable number.

51652 is a deficient number, since it is larger than the sum of its proper divisors (41448).

51652 is a wasteful number, since it uses less digits than its factorization.

51652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 388 counting only the distinct ones).

The product of its digits is 300, while the sum is 19.

The square root of 51652 is about 227.2707636279. The cubic root of 51652 is about 37.2416614220.

It can be divided in two parts, 51 and 652, that added together give a triangular number (703 = T₃₇).

The spelling of 51652 in words is "fifty-one thousand, six hundred fifty-two".