18582125868601 has 27 divisors (see below), whose sum is σ = 19468970612077. Its totient is φ = 17735250253760.

The previous prime is 18582125868599. The next prime is 18582125868619. The reversal of 18582125868601 is 10686852128581.

The square root of 18582125868601 is 4310699.

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 1120792755625 + 17461333112976 = 1058675^2 + 4178676^2 .

It is not a de Polignac number, because 18582125868601 - 2¹ = 18582125868599 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 18582125868601.

It is not an unprimeable number, because it can be changed into a prime (18582125868641) 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, 8306715855 + ... + 8306718091.

Almost surely, 2^{18582125868601} is an apocalyptic number.

18582125868601 is the 4310699-th square number.

18582125868601 is the 2155350-th centered octagonal number.

It is an amenable number.

18582125868601 is a deficient number, since it is larger than the sum of its proper divisors (886844743476).

18582125868601 is an frugal number, since it uses more digits than its factorization.

18582125868601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4650 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 61.

The spelling of 18582125868601 in words is "eighteen trillion, five hundred eighty-two billion, one hundred twenty-five million, eight hundred sixty-eight thousand, six hundred one".