51905280 has 144 divisors (see below), whose sum is σ = 189552384. Its totient is φ = 11857920.

The previous prime is 51905261. The next prime is 51905311. The reversal of 51905280 is 8250915.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25915 + ... + 27845.

It is an arithmetic number, because the mean of its divisors is an integer number (1316336).

Almost surely, 2^51905280 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 51905280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94776192).

51905280 is an abundant number, since it is smaller than the sum of its proper divisors (137647104).

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

51905280 is a wasteful number, since it uses less digits than its factorization.

51905280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 51905280 is about 7204.5319070707. The cubic root of 51905280 is about 373.0243475160.

The spelling of 51905280 in words is "fifty-one million, nine hundred five thousand, two hundred eighty".