51100608 has 112 divisors (see below), whose sum is σ = 148498560. Its totient is φ = 15412224.

The previous prime is 51100603. The next prime is 51100619. The reversal of 51100608 is 80600115.

51100608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51100608² = 5222544275939328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51100601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147091 + ... + 147437.

It is an arithmetic number, because the mean of its divisors is an integer number (1325880).

Almost surely, 2^51100608 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 51100608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74249280).

51100608 is an abundant number, since it is smaller than the sum of its proper divisors (97397952).

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

51100608 is a wasteful number, since it uses less digits than its factorization.

51100608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 51100608 is about 7148.4689269801. The cubic root of 51100608 is about 371.0866714583.

The spelling of 51100608 in words is "fifty-one million, one hundred thousand, six hundred eight".