51108288 has 112 divisors (see below), whose sum is σ = 168639744. Its totient is φ = 13271040.

The previous prime is 51108287. The next prime is 51108311. The reversal of 51108288 is 88280115.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×51108288² = 5224114204581888, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51108287) 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, 13056 + ... + 16512.

It is an arithmetic number, because the mean of its divisors is an integer number (1505712).

Almost surely, 2^51108288 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 51108288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84319872).

51108288 is an abundant number, since it is smaller than the sum of its proper divisors (117531456).

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

51108288 is a wasteful number, since it uses less digits than its factorization.

51108288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3490 (or 3480 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 33.

The square root of 51108288 is about 7149.0060847645. The cubic root of 51108288 is about 371.1052609492.

The spelling of 51108288 in words is "fifty-one million, one hundred eight thousand, two hundred eighty-eight".