51100500608 has 128 divisors (see below), whose sum is σ = 112427827200. Its totient is φ = 23027051520.

The previous prime is 51100500601. The next prime is 51100500611. The reversal of 51100500608 is 80600500115.

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

It is a super-2 number, since 2×51100500608² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51100500601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10681385 + ... + 10686167.

It is an arithmetic number, because the mean of its divisors is an integer number (878342400).

Almost surely, 2^51100500608 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 51100500608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56213913600).

51100500608 is an abundant number, since it is smaller than the sum of its proper divisors (61327326592).

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

51100500608 is a wasteful number, since it uses less digits than its factorization.

51100500608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5030 (or 5018 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

The spelling of 51100500608 in words is "fifty-one billion, one hundred million, five hundred thousand, six hundred eight".