51582480 has 80 divisors (see below), whose sum is σ = 160864704. Its totient is φ = 13672960.

The previous prime is 51582463. The next prime is 51582527. The reversal of 51582480 is 8428515.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 46735 + ... + 47825.

Almost surely, 2^51582480 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 51582480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80432352).

51582480 is an abundant number, since it is smaller than the sum of its proper divisors (109282224).

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

51582480 is a wasteful number, since it uses less digits than its factorization.

51582480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 51582480 is about 7182.0944020529. The cubic root of 51582480 is about 372.2494569150.

The spelling of 51582480 in words is "fifty-one million, five hundred eighty-two thousand, four hundred eighty".