20527557621677 has 2 divisors, whose sum is σ = 20527557621678. Its totient is φ = 20527557621676.

The previous prime is 20527557621553. The next prime is 20527557621679. The reversal of 20527557621677 is 77612675572502.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18052139985961 + 2475417635716 = 4248781^2 + 1573346^2 .

It is a cyclic number.

It is not a de Polignac number, because 20527557621677 - 2²² = 20527553427373 is a prime.

It is a super-2 number, since 2×20527557621677² (a number of 27 digits) contains 22 as substring.

Together with 20527557621679, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20527557621679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10263778810838 + 10263778810839.

It is an arithmetic number, because the mean of its divisors is an integer number (10263778810839).

Almost surely, 2^{20527557621677} is an apocalyptic number.

It is an amenable number.

20527557621677 is a deficient number, since it is larger than the sum of its proper divisors (1).

20527557621677 is an equidigital number, since it uses as much as digits as its factorization.

20527557621677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86436000, while the sum is 62.

The spelling of 20527557621677 in words is "twenty trillion, five hundred twenty-seven billion, five hundred fifty-seven million, six hundred twenty-one thousand, six hundred seventy-seven".