7011125509609 has 27 divisors (see below), whose sum is σ = 7626714449103. Its totient is φ = 6442289897472.

The previous prime is 7011125509571. The next prime is 7011125509637. The reversal of 7011125509609 is 9069055211107.

The square root of 7011125509609 is 2647853.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2030069288025 + 4981056221584 = 1424805^2 + 2231828^2 .

It is not a de Polignac number, because 7011125509609 - 2¹⁹ = 7011124985321 is a prime.

It is a super-2 number, since 2×7011125509609² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7011125509669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12150997129 + ... + 12150997705.

Almost surely, 2^{7011125509609} is an apocalyptic number.

7011125509609 is the 2647853-rd square number.

7011125509609 is the 1323927-th centered octagonal number.

It is an amenable number.

7011125509609 is a deficient number, since it is larger than the sum of its proper divisors (615588939494).

7011125509609 is an frugal number, since it uses more digits than its factorization.

7011125509609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 46.

The spelling of 7011125509609 in words is "seven trillion, eleven billion, one hundred twenty-five million, five hundred nine thousand, six hundred nine".