51256080 has 120 divisors (see below), whose sum is σ = 173428632. Its totient is φ = 13565952.

The previous prime is 51256033. The next prime is 51256081. The reversal of 51256080 is 8065215.

51256080 is a `hidden beast` number, since 51 + 2 + 5 + 608 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10653696 + 40602384 = 3264^2 + 6372^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (51256081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184902 + ... + 185178.

Almost surely, 2^51256080 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 51256080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86714316).

51256080 is an abundant number, since it is smaller than the sum of its proper divisors (122172552).

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

51256080 is a wasteful number, since it uses less digits than its factorization.

51256080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 544 counting only the distinct ones).

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

The square root of 51256080 is about 7159.3351646644. The cubic root of 51256080 is about 371.4626302947.

The spelling of 51256080 in words is "fifty-one million, two hundred fifty-six thousand, eighty".