51212772 has 144 divisors (see below), whose sum is σ = 152176752. Its totient is φ = 14376960.

The previous prime is 51212717. The next prime is 51212779. The reversal of 51212772 is 27721215.

51212772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 9144576 + 42068196 = 3024^2 + 6486^2 .

It is not an unprimeable number, because it can be changed into a prime (51212779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 326118 + ... + 326274.

It is an arithmetic number, because the mean of its divisors is an integer number (1056783).

Almost surely, 2^51212772 is an apocalyptic number.

51212772 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51212772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76088376).

51212772 is an abundant number, since it is smaller than the sum of its proper divisors (100963980).

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

51212772 is a wasteful number, since it uses less digits than its factorization.

51212772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 233 counting only the distinct ones).

The product of its digits is 1960, while the sum is 27.

The square root of 51212772 is about 7156.3099429804. The cubic root of 51212772 is about 371.3579803577.

Adding to 51212772 its reverse (27721215), we get a palindrome (78933987).

It can be divided in two parts, 51212 and 772, that added together give a square (51984 = 228²).

The spelling of 51212772 in words is "fifty-one million, two hundred twelve thousand, seven hundred seventy-two".