51504 has 40 divisors (see below), whose sum is σ = 141360. Its totient is φ = 16128.

The previous prime is 51503. The next prime is 51511. The reversal of 51504 is 40515.

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (51503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1374 + ... + 1410.

It is an arithmetic number, because the mean of its divisors is an integer number (3534).

2⁵¹⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70680).

51504 is an abundant number, since it is smaller than the sum of its proper divisors (89856).

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

51504 is a wasteful number, since it uses less digits than its factorization.

51504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 71 counting only the distinct ones).

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

The square root of 51504 is about 226.9449272401. The cubic root of 51504 is about 37.2060575174.

It can be divided in two parts, 51 and 504, that added together give a palindrome (555).

The spelling of 51504 in words is "fifty-one thousand, five hundred four".