51008256 has 162 divisors, whose sum is σ = 160468308. Its totient is φ = 15575040.

The previous prime is 51008249. The next prime is 51008257. The reversal of 51008256 is 65280015.

It is not an unprimeable number, because it can be changed into a prime (51008257) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 389311 + ... + 389441.

Almost surely, 2^51008256 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 51008256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80234154).

51008256 is an abundant number, since it is smaller than the sum of its proper divisors (109460052).

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

51008256 is a wasteful number, since it uses less digits than its factorization.

51008256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 51008256 is about 7142.0064407700. The cubic root of 51008256 is about 370.8629868248.

The spelling of 51008256 in words is "fifty-one million, eight thousand, two hundred fifty-six".