575125920 has 240 divisors, whose sum is σ = 2049062400. Its totient is φ = 151911936.

The previous prime is 575125909. The next prime is 575125927. The reversal of 575125920 is 29521575.

575125920 is a `hidden beast` number, since 57 + 5 + 12 + 592 + 0 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (575125927) 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 39 ways as a sum of consecutive naturals, for example, 2578929 + ... + 2579151.

It is an arithmetic number, because the mean of its divisors is an integer number (8537760).

Almost surely, 2^575125920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 575125920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024531200).

575125920 is an abundant number, since it is smaller than the sum of its proper divisors (1473936480).

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

575125920 is a wasteful number, since it uses less digits than its factorization.

575125920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 575125920 is about 23981.7830863345. The cubic root of 575125920 is about 831.6124458573.

The spelling of 575125920 in words is "five hundred seventy-five million, one hundred twenty-five thousand, nine hundred twenty".