575084105649 has 27 divisors (see below), whose sum is σ = 838468037953. Its totient is φ = 379826708352.

The previous prime is 575084105573. The next prime is 575084105681. The reversal of 575084105649 is 946501480575.

It is a happy number.

The square root of 575084105649 is 758343.

It is a perfect power (a square), and thus also a powerful number.

575084105649 is a `hidden beast` number, since 5 + 7 + 508 + 41 + 0 + 56 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62628566049 + 512455539600 = 250257^2 + 715860^2 .

It is not a de Polignac number, because 575084105649 - 2⁹ = 575084105137 is a prime.

It is a super-2 number, since 2×575084105649² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 575084105595 and 575084105604.

It is not an unprimeable number, because it can be changed into a prime (575084185649) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 257077159 + ... + 257079395.

Almost surely, 2^575084105649 is an apocalyptic number.

575084105649 is the 758343-rd square number.

575084105649 is the 379172-nd centered octagonal number.

It is an amenable number.

575084105649 is a deficient number, since it is larger than the sum of its proper divisors (263383932304).

575084105649 is an frugal number, since it uses more digits than its factorization.

575084105649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4706 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 575084105649 in words is "five hundred seventy-five billion, eighty-four million, one hundred five thousand, six hundred forty-nine".