51066300 has 216 divisors, whose sum is σ = 170544640. Its totient is φ = 11750400.

The previous prime is 51066293. The next prime is 51066341. The reversal of 51066300 is 366015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1647285 + ... + 1647315.

Almost surely, 2^51066300 is an apocalyptic number.

51066300 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 51066300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85272320).

51066300 is an abundant number, since it is smaller than the sum of its proper divisors (119478340).

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

51066300 is a wasteful number, since it uses less digits than its factorization.

51066300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 51066300 is about 7146.0688493745. The cubic root of 51066300 is about 371.0036059641.

The spelling of 51066300 in words is "fifty-one million, sixty-six thousand, three hundred".