20198130258289 has 9 divisors (see below), whose sum is σ = 20428030028577. Its totient is φ = 19970789481984.

The previous prime is 20198130258283. The next prime is 20198130258311. The reversal of 20198130258289 is 98285203189102.

The square root of 20198130258289 is 4494233.

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 9774220640625 + 10423909617664 = 3126375^2 + 3228608^2 .

It is not a de Polignac number, because 20198130258289 - 2¹³ = 20198130250097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20198130258283) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 399961489 + ... + 400011985.

Almost surely, 2^{20198130258289} is an apocalyptic number.

20198130258289 is the 4494233-rd square number.

20198130258289 is the 2247117-th centered octagonal number.

It is an amenable number.

20198130258289 is a deficient number, since it is larger than the sum of its proper divisors (229899770288).

20198130258289 is an frugal number, since it uses more digits than its factorization.

20198130258289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101172 (or 50586 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 58.

The spelling of 20198130258289 in words is "twenty trillion, one hundred ninety-eight billion, one hundred thirty million, two hundred fifty-eight thousand, two hundred eighty-nine".