20557567113301 has 2 divisors, whose sum is σ = 20557567113302. Its totient is φ = 20557567113300.

The previous prime is 20557567113269. The next prime is 20557567113319. The reversal of 20557567113301 is 10331176575502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18059729106276 + 2497838007025 = 4249674^2 + 1580455^2 .

It is a cyclic number.

It is not a de Polignac number, because 20557567113301 - 2⁵ = 20557567113269 is a prime.

It is a super-2 number, since 2×20557567113301² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20557567113341) 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 as a sum of consecutive naturals, namely, 10278783556650 + 10278783556651.

It is an arithmetic number, because the mean of its divisors is an integer number (10278783556651).

Almost surely, 2^{20557567113301} is an apocalyptic number.

It is an amenable number.

20557567113301 is a deficient number, since it is larger than the sum of its proper divisors (1).

20557567113301 is an equidigital number, since it uses as much as digits as its factorization.

20557567113301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 661500, while the sum is 46.

The spelling of 20557567113301 in words is "twenty trillion, five hundred fifty-seven billion, five hundred sixty-seven million, one hundred thirteen thousand, three hundred one".