51958656 has 192 divisors, whose sum is σ = 163257120. Its totient is φ = 15814656.

The previous prime is 51958651. The next prime is 51958657. The reversal of 51958656 is 65685915.

It is a happy number.

51958656 is a `hidden beast` number, since 5 + 19 + 586 + 56 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51958651) 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, 980326 + ... + 980378.

Almost surely, 2^51958656 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 51958656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81628560).

51958656 is an abundant number, since it is smaller than the sum of its proper divisors (111298464).

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

51958656 is a wasteful number, since it uses less digits than its factorization.

51958656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 118 counting only the distinct ones).

The product of its digits is 324000, while the sum is 45.

The square root of 51958656 is about 7208.2352902774. The cubic root of 51958656 is about 373.1521683373.

The spelling of 51958656 in words is "fifty-one million, nine hundred fifty-eight thousand, six hundred fifty-six".