575377506 has 120 divisors (see below), whose sum is σ = 1433886300. Its totient is φ = 172307520.

The previous prime is 575377501. The next prime is 575377531. The reversal of 575377506 is 605773575.

575377506 is a `hidden beast` number, since 5 + 75 + 3 + 77 + 506 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 569251881 + 6125625 = 23859^2 + 2475^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (575377501) 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 59 ways as a sum of consecutive naturals, for example, 2920600 + ... + 2920796.

Almost surely, 2^575377506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 575377506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716943150).

575377506 is an abundant number, since it is smaller than the sum of its proper divisors (858508794).

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

575377506 is a wasteful number, since it uses less digits than its factorization.

575377506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 771750, while the sum is 45.

The square root of 575377506 is about 23987.0278692463. The cubic root of 575377506 is about 831.7336897689.

The spelling of 575377506 in words is "five hundred seventy-five million, three hundred seventy-seven thousand, five hundred six".