51144980 has 48 divisors (see below), whose sum is σ = 112266000. Its totient is φ = 19547136.

The previous prime is 51144887. The next prime is 51144983. The reversal of 51144980 is 8944115.

It can be written as a sum of positive squares in 8 ways, for example, as 3341584 + 47803396 = 1828^2 + 6914^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51144983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62816 + ... + 63624.

It is an arithmetic number, because the mean of its divisors is an integer number (2338875).

Almost surely, 2^51144980 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 51144980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56133000).

51144980 is an abundant number, since it is smaller than the sum of its proper divisors (61121020).

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

51144980 is a wasteful number, since it uses less digits than its factorization.

51144980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 51144980 is about 7151.5718551938. The cubic root of 51144980 is about 371.1940484858.

The spelling of 51144980 in words is "fifty-one million, one hundred forty-four thousand, nine hundred eighty".