52586352 has 120 divisors (see below), whose sum is σ = 181175904. Its totient is φ = 13865472.

The previous prime is 52586351. The next prime is 52586381. The reversal of 52586352 is 25368525.

It is a happy number.

52586352 is a `hidden beast` number, since 525 + 86 + 3 + 52 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52586351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11098 + ... + 15110.

Almost surely, 2^52586352 is an apocalyptic number.

52586352 is a gapful number since it is divisible by the number (52) 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 52586352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90587952).

52586352 is an abundant number, since it is smaller than the sum of its proper divisors (128589552).

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

52586352 is a wasteful number, since it uses less digits than its factorization.

52586352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4047 (or 4038 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 52586352 is about 7251.6447789450. The cubic root of 52586352 is about 374.6488018623.

The spelling of 52586352 in words is "fifty-two million, five hundred eighty-six thousand, three hundred fifty-two".