51024 has 20 divisors (see below), whose sum is σ = 131936. Its totient is φ = 16992.

The previous prime is 51001. The next prime is 51031. The reversal of 51024 is 42015.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

51024 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, 484 + ... + 579.

2⁵¹⁰²⁴ is an apocalyptic number.

It is an amenable number.

51024 is an abundant number, since it is smaller than the sum of its proper divisors (80912).

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 (65968).

51024 is a wasteful number, since it uses less digits than its factorization.

51024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 51024 is about 225.8849264559. The cubic root of 51024 is about 37.0901139251.

Adding to 51024 its reverse (42015), we get a palindrome (93039).

Subtracting from 51024 its reverse (42015), we obtain a palindrome (9009).

The spelling of 51024 in words is "fifty-one thousand, twenty-four".