51586656 has 72 divisors (see below), whose sum is σ = 148878072. Its totient is φ = 15628800.

The previous prime is 51586643. The next prime is 51586657. The reversal of 51586656 is 65668515.

It is a super-2 number, since 2×51586656² = 5322366154524672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51586657) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9396 + ... + 13836.

It is an arithmetic number, because the mean of its divisors is an integer number (2067751).

Almost surely, 2^51586656 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 51586656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74439036).

51586656 is an abundant number, since it is smaller than the sum of its proper divisors (97291416).

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

51586656 is a wasteful number, since it uses less digits than its factorization.

51586656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4476 (or 4457 counting only the distinct ones).

The product of its digits is 216000, while the sum is 42.

The square root of 51586656 is about 7182.3851191648. The cubic root of 51586656 is about 372.2595021331.

The spelling of 51586656 in words is "fifty-one million, five hundred eighty-six thousand, six hundred fifty-six".