51065312 has 48 divisors (see below), whose sum is σ = 108138240. Its totient is φ = 23660928.

The previous prime is 51065309. The next prime is 51065321. The reversal of 51065312 is 21356015.

It is a super-3 number, since 3×51065312³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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, 27683 + ... + 29469.

It is an arithmetic number, because the mean of its divisors is an integer number (2252880).

Almost surely, 2^51065312 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 51065312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54069120).

51065312 is an abundant number, since it is smaller than the sum of its proper divisors (57072928).

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

51065312 is a wasteful number, since it uses less digits than its factorization.

51065312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 51065312 is about 7145.9997201231. Note that the first 3 decimals coincide. The cubic root of 51065312 is about 371.0012132973.

The spelling of 51065312 in words is "fifty-one million, sixty-five thousand, three hundred twelve".