11682006231025 has 27 divisors (see below), whose sum is σ = 15685983835329. Its totient is φ = 8626548234720.

The previous prime is 11682006231017. The next prime is 11682006231031. The reversal of 11682006231025 is 52013260028611.

The square root of 11682006231025 is 3417895.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3011054387121 + 8670951843904 = 1735239^2 + 2944648^2 .

It is not a de Polignac number, because 11682006231025 - 2³ = 11682006231017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 222136884 + ... + 222189466.

Almost surely, 2^{11682006231025} is an apocalyptic number.

11682006231025 is the 3417895-th square number.

11682006231025 is the 1708948-th centered octagonal number.

It is an amenable number.

11682006231025 is a deficient number, since it is larger than the sum of its proper divisors (4003977604304).

11682006231025 is an frugal number, since it uses more digits than its factorization.

11682006231025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105202 (or 52601 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

Adding to 11682006231025 its reverse (52013260028611), we get a palindrome (63695266259636).

The spelling of 11682006231025 in words is "eleven trillion, six hundred eighty-two billion, six million, two hundred thirty-one thousand, twenty-five".