51633 has 6 divisors (see below), whose sum is σ = 74594. Its totient is φ = 34416.

The previous prime is 51631. The next prime is 51637. The reversal of 51633 is 33615.

51633 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 28224 + 23409 = 168^2 + 153^2 .

It is not a de Polignac number, because 51633 - 2¹ = 51631 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (51631) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2860 + ... + 2877.

2⁵¹⁶³³ is an apocalyptic number.

It is an amenable number.

51633 is a deficient number, since it is larger than the sum of its proper divisors (22961).

51633 is a wasteful number, since it uses less digits than its factorization.

51633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5743 (or 5740 counting only the distinct ones).

The product of its digits is 270, while the sum is 18.

The square root of 51633 is about 227.2289594220. The cubic root of 51633 is about 37.2370944588.

Subtracting from 51633 its sum of digits (18), we obtain a palindrome (51615).

The spelling of 51633 in words is "fifty-one thousand, six hundred thirty-three".