52585088 has 32 divisors (see below), whose sum is σ = 105748500. Its totient is φ = 26044416.

The previous prime is 52585081. The next prime is 52585133. The reversal of 52585088 is 88058525.

It can be written as a sum of positive squares in 2 ways, for example, as 48553024 + 4032064 = 6968^2 + 2008^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (52585081) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12068 + ... + 15836.

Almost surely, 2^52585088 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 52585088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52874250).

52585088 is an abundant number, since it is smaller than the sum of its proper divisors (53163412).

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

52585088 is a wasteful number, since it uses less digits than its factorization.

52585088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3892 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 41.

The square root of 52585088 is about 7251.5576257794. The cubic root of 52585088 is about 374.6458000703.

The spelling of 52585088 in words is "fifty-two million, five hundred eighty-five thousand, eighty-eight".