51192 has 40 divisors (see below), whose sum is σ = 145200. Its totient is φ = 16848.

The previous prime is 51169. The next prime is 51193. The reversal of 51192 is 29115.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 9.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51193) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 609 + ... + 687.

It is an arithmetic number, because the mean of its divisors is an integer number (3630).

2⁵¹¹⁹² 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 51192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72600).

51192 is an abundant number, since it is smaller than the sum of its proper divisors (94008).

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

51192 is a wasteful number, since it uses less digits than its factorization.

51192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 84 counting only the distinct ones).

The product of its digits is 90, while the sum is 18.

The square root of 51192 is about 226.2564916196. The cubic root of 51192 is about 37.1307765728.

It can be divided in two parts, 51 and 192, that added together give a 5-th power (243 = 3⁵).

The spelling of 51192 in words is "fifty-one thousand, one hundred ninety-two".