52585200 has 180 divisors, whose sum is σ = 189593768. Its totient is φ = 13996800.

The previous prime is 52585193. The next prime is 52585201. The reversal of 52585200 is 258525.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52585201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 96930 + ... + 97470.

Almost surely, 2^52585200 is an apocalyptic number.

52585200 is a gapful number since it is divisible by the number (50) 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 52585200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94796884).

52585200 is an abundant number, since it is smaller than the sum of its proper divisors (137008568).

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

52585200 is a wasteful number, since it uses less digits than its factorization.

52585200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 52585200 is about 7251.5653482541. The cubic root of 52585200 is about 374.6460660538.

The spelling of 52585200 in words is "fifty-two million, five hundred eighty-five thousand, two hundred".