51461280 has 144 divisors (see below), whose sum is σ = 189189000. Its totient is φ = 12662784.

The previous prime is 51461233. The next prime is 51461309. The reversal of 51461280 is 8216415.

It can be written as a sum of positive squares in 4 ways, for example, as 21123216 + 30338064 = 4596^2 + 5508^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17346 + ... + 20094.

Almost surely, 2^51461280 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 51461280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94594500).

51461280 is an abundant number, since it is smaller than the sum of its proper divisors (137727720).

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

51461280 is a wasteful number, since it uses less digits than its factorization.

51461280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 51461280 is about 7173.6517897093. The cubic root of 51461280 is about 371.9576781544.

Adding to 51461280 its reverse (8216415), we get a palindrome (59677695).

The spelling of 51461280 in words is "fifty-one million, four hundred sixty-one thousand, two hundred eighty".