51765200 has 60 divisors (see below), whose sum is σ = 125468160. Its totient is φ = 20522880.

The previous prime is 51765199. The next prime is 51765277. The reversal of 51765200 is 256715.

It is a self number, because there is not a number n which added to its sum of digits gives 51765200.

It is a congruent number.

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, 50291 + ... + 51309.

It is an arithmetic number, because the mean of its divisors is an integer number (2091136).

Almost surely, 2^51765200 is an apocalyptic number.

51765200 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 51765200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62734080).

51765200 is an abundant number, since it is smaller than the sum of its proper divisors (73702960).

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

51765200 is a wasteful number, since it uses less digits than its factorization.

51765200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 51765200 is about 7194.8036804349. The cubic root of 51765200 is about 372.6884772052.

The spelling of 51765200 in words is "fifty-one million, seven hundred sixty-five thousand, two hundred".