51006656 has 56 divisors (see below), whose sum is σ = 106899456. Its totient is φ = 24111360.

The previous prime is 51006653. The next prime is 51006661. The reversal of 51006656 is 65660015.

It is not an unprimeable number, because it can be changed into a prime (51006653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92975 + ... + 93521.

Almost surely, 2^51006656 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 51006656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53449728).

51006656 is an abundant number, since it is smaller than the sum of its proper divisors (55892800).

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

51006656 is a wasteful number, since it uses less digits than its factorization.

51006656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 51006656 is about 7141.8944265510. The cubic root of 51006656 is about 370.8591091062.

The spelling of 51006656 in words is "fifty-one million, six thousand, six hundred fifty-six".