51582200 has 48 divisors (see below), whose sum is σ = 120435000. Its totient is φ = 20545920.

The previous prime is 51582191. The next prime is 51582203. The reversal of 51582200 is 228515.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51582203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69431 + ... + 70169.

Almost surely, 2^51582200 is an apocalyptic number.

51582200 is a gapful number since it is divisible by the number (50) 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 51582200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60217500).

51582200 is an abundant number, since it is smaller than the sum of its proper divisors (68852800).

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

51582200 is a wasteful number, since it uses less digits than its factorization.

51582200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 51582200 is about 7182.0749091053. The cubic root of 51582200 is about 372.2487833657.

The spelling of 51582200 in words is "fifty-one million, five hundred eighty-two thousand, two hundred".