575253504 has 264 divisors, whose sum is σ = 1957718048. Its totient is φ = 159252480.

The previous prime is 575253499. The next prime is 575253521. The reversal of 575253504 is 405352575.

575253504 is a `hidden beast` number, since 57 + 52 + 53 + 504 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2386824 + ... + 2387064.

Almost surely, 2^575253504 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 575253504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978859024).

575253504 is an abundant number, since it is smaller than the sum of its proper divisors (1382464544).

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

575253504 is a wasteful number, since it uses less digits than its factorization.

575253504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 36.

The square root of 575253504 is about 23984.4429578842. The cubic root of 575253504 is about 831.6739353468.

The spelling of 575253504 in words is "five hundred seventy-five million, two hundred fifty-three thousand, five hundred four".