51256512 has 168 divisors, whose sum is σ = 158337504. Its totient is φ = 15814656.

The previous prime is 51256511. The next prime is 51256529. The reversal of 51256512 is 21565215.

51256512 is a `hidden beast` number, since 5 + 1 + 2 + 5 + 651 + 2 = 666.

It is a super-2 number, since 2×51256512² = 5254460044812288, which contains 22 as substring.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (51256511) 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, 702108 + ... + 702180.

Almost surely, 2^51256512 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 51256512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79168752).

51256512 is an abundant number, since it is smaller than the sum of its proper divisors (107080992).

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

51256512 is a wasteful number, since it uses less digits than its factorization.

51256512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 154 counting only the distinct ones).

The product of its digits is 3000, while the sum is 27.

The square root of 51256512 is about 7159.3653350000. The cubic root of 51256512 is about 371.4636738873.

The spelling of 51256512 in words is "fifty-one million, two hundred fifty-six thousand, five hundred twelve".