51305968 has 40 divisors (see below), whose sum is σ = 114532352. Its totient is φ = 21809088.

The previous prime is 51305963. The next prime is 51305977. The reversal of 51305968 is 86950315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51305963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12421 + ... + 16027.

Almost surely, 2^51305968 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 51305968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57266176).

51305968 is an abundant number, since it is smaller than the sum of its proper divisors (63226384).

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

51305968 is a wasteful number, since it uses less digits than its factorization.

51305968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3749 (or 3743 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 51305968 is about 7162.8184396926. The cubic root of 51305968 is about 371.5831071802.

The spelling of 51305968 in words is "fifty-one million, three hundred five thousand, nine hundred sixty-eight".