575261122688 has 216 divisors, whose sum is σ = 1364035345335. Its totient is φ = 240954255360.

The previous prime is 575261122637. The next prime is 575261122697. The reversal of 575261122688 is 886221162575.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 587965504 + 574673157184 = 24248^2 + 758072^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=536312.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 3664083506 + ... + 3664083662.

Almost surely, 2^575261122688 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 575261122688

575261122688 is an abundant number, since it is smaller than the sum of its proper divisors (788774222647).

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

575261122688 is an frugal number, since it uses more digits than its factorization.

575261122688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 227 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 53.

The spelling of 575261122688 in words is "five hundred seventy-five billion, two hundred sixty-one million, one hundred twenty-two thousand, six hundred eighty-eight".