575505000 has 600 divisors, whose sum is σ = 2423950650. Its totient is φ = 127008000.

The previous prime is 575504999. The next prime is 575505001. The reversal of 575505000 is 505575.

It is an interprime number because it is at equal distance from previous prime (575504999) and next prime (575505001).

It can be written as a sum of positive squares in 5 ways, for example, as 8398404 + 567106596 = 2898^2 + 23814^2 .

It is a tau number, because it is divible by the number of its divisors (600).

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

It is not an unprimeable number, because it can be changed into a prime (575505001) 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 149 ways as a sum of consecutive naturals, for example, 19844986 + ... + 19845014.

Almost surely, 2^575505000 is an apocalyptic number.

575505000 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 575505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211975325).

575505000 is an abundant number, since it is smaller than the sum of its proper divisors (1848445650).

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

575505000 is a wasteful number, since it uses less digits than its factorization.

575505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 4375, while the sum is 27.

The square root of 575505000 is about 23989.6852834713. The cubic root of 575505000 is about 831.7951179748.

The spelling of 575505000 in words is "five hundred seventy-five million, five hundred five thousand".