51088000 has 128 divisors (see below), whose sum is σ = 132387840. Its totient is φ = 19584000.

The previous prime is 51087997. The next prime is 51088001. The reversal of 51088000 is 88015.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51088001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 495949 + ... + 496051.

It is an arithmetic number, because the mean of its divisors is an integer number (1034280).

Almost surely, 2^51088000 is an apocalyptic number.

51088000 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 51088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66193920).

51088000 is an abundant number, since it is smaller than the sum of its proper divisors (81299840).

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

51088000 is a wasteful number, since it uses less digits than its factorization.

51088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 51088000 is about 7147.5870054166. The cubic root of 51088000 is about 371.0561496714.

The spelling of 51088000 in words is "fifty-one million, eighty-eight thousand".