51296256 has 216 divisors, whose sum is σ = 169926120. Its totient is φ = 14868480.

The previous prime is 51296251. The next prime is 51296261. The reversal of 51296256 is 65269215.

51296256 is a `hidden beast` number, since 5 + 1 + 29 + 625 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (51296251) and next prime (51296261).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 51296256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51296251) 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, 2230261 + ... + 2230283.

It is an arithmetic number, because the mean of its divisors is an integer number (786695).

Almost surely, 2^51296256 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 51296256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84963060).

51296256 is an abundant number, since it is smaller than the sum of its proper divisors (118629864).

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

51296256 is a wasteful number, since it uses less digits than its factorization.

51296256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 39 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 51296256 is about 7162.1404621803. The cubic root of 51296256 is about 371.5596593370.

The spelling of 51296256 in words is "fifty-one million, two hundred ninety-six thousand, two hundred fifty-six".