51304 has 24 divisors (see below), whose sum is σ = 107730. Its totient is φ = 22880.

The previous prime is 51287. The next prime is 51307. The reversal of 51304 is 40315.

51304 = T₅₇ + T₅₈ + ... + T₇₈.

It can be written as a sum of positive squares in only one way, i.e., 39204 + 12100 = 198^2 + 110^2 .

It is not an unprimeable number, because it can be changed into a prime (51307) 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, 942 + ... + 994.

2⁵¹³⁰⁴ 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 51304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53865).

51304 is an abundant number, since it is smaller than the sum of its proper divisors (56426).

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

51304 is a wasteful number, since it uses less digits than its factorization.

51304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 51304 is about 226.5038631017. The cubic root of 51304 is about 37.1578356044.

Adding to 51304 its reverse (40315), we get a palindrome (91619).

The spelling of 51304 in words is "fifty-one thousand, three hundred four".