51382656 has 192 divisors, whose sum is σ = 164848320. Its totient is φ = 15261696.

The previous prime is 51382651. The next prime is 51382657. The reversal of 51382656 is 65628315.

51382656 is a `hidden beast` number, since 513 + 82 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×51382656² = 5280354675228672, which contains 22 as substring.

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 51382656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51382651) 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, 703836 + ... + 703908.

It is an arithmetic number, because the mean of its divisors is an integer number (858585).

Almost surely, 2^51382656 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 51382656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82424160).

51382656 is an abundant number, since it is smaller than the sum of its proper divisors (113465664).

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

51382656 is a wasteful number, since it uses less digits than its factorization.

51382656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 138 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 51382656 is about 7168.1696408497. The cubic root of 51382656 is about 371.7681524449.

The spelling of 51382656 in words is "fifty-one million, three hundred eighty-two thousand, six hundred fifty-six".