575532100 has 144 divisors (see below), whose sum is σ = 1482155136. Its totient is φ = 191232000.

The previous prime is 575532071. The next prime is 575532103. The reversal of 575532100 is 1235575.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575532103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2387980 + ... + 2388220.

It is an arithmetic number, because the mean of its divisors is an integer number (10292744).

Almost surely, 2^575532100 is an apocalyptic number.

575532100 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 575532100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741077568).

575532100 is an abundant number, since it is smaller than the sum of its proper divisors (906623036).

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

575532100 is a wasteful number, since it uses less digits than its factorization.

575532100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 28.

The square root of 575532100 is about 23990.2501029064. The cubic root of 575532100 is about 831.8081739250.

Adding to 575532100 its reverse (1235575), we get a palindrome (576767675).

The spelling of 575532100 in words is "five hundred seventy-five million, five hundred thirty-two thousand, one hundred".