51013872 has 240 divisors, whose sum is σ = 186863040. Its totient is φ = 12607488.

The previous prime is 51013843. The next prime is 51013877. The reversal of 51013872 is 27831015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51013877) 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 47 ways as a sum of consecutive naturals, for example, 222654 + ... + 222882.

It is an arithmetic number, because the mean of its divisors is an integer number (778596).

Almost surely, 2^51013872 is an apocalyptic number.

51013872 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 51013872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93431520).

51013872 is an abundant number, since it is smaller than the sum of its proper divisors (135849168).

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

51013872 is a wasteful number, since it uses less digits than its factorization.

51013872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 51013872 is about 7142.3995967742. The cubic root of 51013872 is about 370.8765969752.

Adding to 51013872 its reverse (27831015), we get a palindrome (78844887).

The spelling of 51013872 in words is "fifty-one million, thirteen thousand, eight hundred seventy-two".