51735712 has 48 divisors (see below), whose sum is σ = 118081152. Its totient is φ = 21853440.

The previous prime is 51735707. The next prime is 51735713. The reversal of 51735712 is 21753715.

It is a super-2 number, since 2×51735712² = 5353167792293888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51735713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14278 + ... + 17530.

It is an arithmetic number, because the mean of its divisors is an integer number (2460024).

Almost surely, 2^51735712 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 51735712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59040576).

51735712 is an abundant number, since it is smaller than the sum of its proper divisors (66345440).

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

51735712 is a wasteful number, since it uses less digits than its factorization.

51735712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341 (or 3333 counting only the distinct ones).

The product of its digits is 7350, while the sum is 31.

The square root of 51735712 is about 7192.7541317634. The cubic root of 51735712 is about 372.6176965439.

The spelling of 51735712 in words is "fifty-one million, seven hundred thirty-five thousand, seven hundred twelve".