52575600 has 240 divisors, whose sum is σ = 210343680. Its totient is φ = 10905600.

The previous prime is 52575583. The next prime is 52575619. The reversal of 52575600 is 657525.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92116 + ... + 92684.

It is an arithmetic number, because the mean of its divisors is an integer number (876432).

Almost surely, 2^52575600 is an apocalyptic number.

52575600 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 52575600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105171840).

52575600 is an abundant number, since it is smaller than the sum of its proper divisors (157768080).

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

52575600 is a wasteful number, since it uses less digits than its factorization.

52575600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 52575600 is about 7250.9033919919. The cubic root of 52575600 is about 374.6232660954.

It can be divided in two parts, 525 and 75600, that multiplied together give a square (39690000 = 6300²).

The spelling of 52575600 in words is "fifty-two million, five hundred seventy-five thousand, six hundred".