52580416 has 56 divisors (see below), whose sum is σ = 119985536. Its totient is φ = 22394880.

The previous prime is 52580389. The next prime is 52580419. The reversal of 52580416 is 61408525.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (52580419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107725 + ... + 108211.

Almost surely, 2^52580416 is an apocalyptic number.

52580416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52580416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59992768).

52580416 is an abundant number, since it is smaller than the sum of its proper divisors (67405120).

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

52580416 is a wasteful number, since it uses less digits than its factorization.

52580416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 52580416 is about 7251.2354809370. The cubic root of 52580416 is about 374.6347044214.

The spelling of 52580416 in words is "fifty-two million, five hundred eighty thousand, four hundred sixteen".