52781200 has 60 divisors (see below), whose sum is σ = 127928320. Its totient is φ = 20926080.

The previous prime is 52781171. The next prime is 52781249. The reversal of 52781200 is 218725.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50281 + ... + 51319.

Almost surely, 2^52781200 is an apocalyptic number.

52781200 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 52781200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63964160).

52781200 is an abundant number, since it is smaller than the sum of its proper divisors (75147120).

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

52781200 is a wasteful number, since it uses less digits than its factorization.

52781200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 52781200 is about 7265.0671022366. The cubic root of 52781200 is about 375.1109597572.

Adding to 52781200 its reverse (218725), we get a palindrome (52999925).

The spelling of 52781200 in words is "fifty-two million, seven hundred eighty-one thousand, two hundred".