51066288 has 200 divisors, whose sum is σ = 182328608. Its totient is φ = 13436928.

The previous prime is 51066287. The next prime is 51066293. The reversal of 51066288 is 88266015.

It is a happy number.

51066288 is a `hidden beast` number, since 510 + 6 + 62 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (51066287) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 117720 + ... + 118152.

Almost surely, 2^51066288 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 51066288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91164304).

51066288 is an abundant number, since it is smaller than the sum of its proper divisors (131262320).

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

51066288 is a wasteful number, since it uses less digits than its factorization.

51066288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 51066288 is about 7146.0680097519. The cubic root of 51066288 is about 371.0035769036.

The spelling of 51066288 in words is "fifty-one million, sixty-six thousand, two hundred eighty-eight".