52585560 has 144 divisors (see below), whose sum is σ = 177184800. Its totient is φ = 13523328.

The previous prime is 52585529. The next prime is 52585571. The reversal of 52585560 is 6558525.

52585560 is a `hidden beast` number, since 52 + 58 + 556 + 0 = 666.

It is a super-2 number, since 2×52585560² = 5530482241027200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 665601 + ... + 665679.

It is an arithmetic number, because the mean of its divisors is an integer number (1230450).

Almost surely, 2^52585560 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 52585560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88592400).

52585560 is an abundant number, since it is smaller than the sum of its proper divisors (124599240).

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

52585560 is a wasteful number, since it uses less digits than its factorization.

52585560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The square root of 52585560 is about 7251.5901704385. The cubic root of 52585560 is about 374.6469209983.

The spelling of 52585560 in words is "fifty-two million, five hundred eighty-five thousand, five hundred sixty".