51033312 has 144 divisors (see below), whose sum is σ = 160982640. Its totient is φ = 15206400.

The previous prime is 51033247. The next prime is 51033313. The reversal of 51033312 is 21333015.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×51033312³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51033313) 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 23 ways as a sum of consecutive naturals, for example, 281862 + ... + 282042.

It is an arithmetic number, because the mean of its divisors is an integer number (1117935).

Almost surely, 2^51033312 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 51033312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80491320).

51033312 is an abundant number, since it is smaller than the sum of its proper divisors (109949328).

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

51033312 is a wasteful number, since it uses less digits than its factorization.

51033312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 51033312 is about 7143.7603543232. The cubic root of 51033312 is about 370.9237013223.

Adding to 51033312 its reverse (21333015), we get a palindrome (72366327).

The spelling of 51033312 in words is "fifty-one million, thirty-three thousand, three hundred twelve".