51576 has 32 divisors (see below), whose sum is σ = 147840. Its totient is φ = 14688.

The previous prime is 51563. The next prime is 51577. The reversal of 51576 is 67515.

51576 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 is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51577) 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, 15 + ... + 321.

It is an arithmetic number, because the mean of its divisors is an integer number (4620).

2⁵¹⁵⁷⁶ is an apocalyptic number.

51576 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73920).

51576 is an abundant number, since it is smaller than the sum of its proper divisors (96264).

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

51576 is a wasteful number, since it uses less digits than its factorization.

51576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 319 counting only the distinct ones).

The product of its digits is 1050, while the sum is 24.

The square root of 51576 is about 227.1035006335. The cubic root of 51576 is about 37.2233868434.

The spelling of 51576 in words is "fifty-one thousand, five hundred seventy-six".