51010960 has 240 divisors, whose sum is σ = 163382400. Its totient is φ = 14676480.

The previous prime is 51010957. The next prime is 51010961. The reversal of 51010960 is 6901015.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (51010961) 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, 3923914 + ... + 3923926.

It is an arithmetic number, because the mean of its divisors is an integer number (680760).

Almost surely, 2^51010960 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 51010960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81691200).

51010960 is an abundant number, since it is smaller than the sum of its proper divisors (112371440).

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

51010960 is a wasteful number, since it uses less digits than its factorization.

51010960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 22.

The square root of 51010960 is about 7142.1957408069. The cubic root of 51010960 is about 370.8695399849.

Adding to 51010960 its reverse (6901015), we get a palindrome (57911975).

The spelling of 51010960 in words is "fifty-one million, ten thousand, nine hundred sixty".