51300312 has 128 divisors (see below), whose sum is σ = 153446400. Its totient is φ = 13989888.

The previous prime is 51300311. The next prime is 51300341. The reversal of 51300312 is 21300315.

It is a happy number.

It is a super-2 number, since 2×51300312² = 5263444022594688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51300291 and 51300300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51300311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 576364 + ... + 576452.

It is an arithmetic number, because the mean of its divisors is an integer number (1198800).

Almost surely, 2^51300312 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 51300312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76723200).

51300312 is an abundant number, since it is smaller than the sum of its proper divisors (102146088).

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

51300312 is a wasteful number, since it uses less digits than its factorization.

51300312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 51300312 is about 7162.4236121581. The cubic root of 51300312 is about 371.5694521652.

Adding to 51300312 its reverse (21300315), we get a palindrome (72600627).

The spelling of 51300312 in words is "fifty-one million, three hundred thousand, three hundred twelve".