11525026891609 has 27 divisors (see below), whose sum is σ = 14736584687391. Its totient is φ = 8980336743840.

The previous prime is 11525026891577. The next prime is 11525026891681. The reversal of 11525026891609 is 90619862052511.

The square root of 11525026891609 is 3394853.

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

It can be written as a sum of positive squares in only one way, i.e., 5208450533209 + 6316576358400 = 2282203^2 + 2513280^2 .

It is not a de Polignac number, because 11525026891609 - 2⁵ = 11525026891577 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11525026891609.

It is not an unprimeable number, because it can be changed into a prime (11525026891109) 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, 261381637 + ... + 261425725.

Almost surely, 2^{11525026891609} is an apocalyptic number.

11525026891609 is the 3394853-rd square number.

11525026891609 is the 1697427-th centered octagonal number.

It is an amenable number.

11525026891609 is a deficient number, since it is larger than the sum of its proper divisors (3211557795782).

11525026891609 is an frugal number, since it uses more digits than its factorization.

11525026891609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88214 (or 44107 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 55.

The spelling of 11525026891609 in words is "eleven trillion, five hundred twenty-five billion, twenty-six million, eight hundred ninety-one thousand, six hundred nine".