20251141506577 has 2 divisors, whose sum is σ = 20251141506578. Its totient is φ = 20251141506576.

The previous prime is 20251141506569. The next prime is 20251141506593. The reversal of 20251141506577 is 77560514115202.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16491850952256 + 3759290554321 = 4061016^2 + 1938889^2 .

It is a cyclic number.

It is not a de Polignac number, because 20251141506577 - 2³ = 20251141506569 is a prime.

It is not a weakly prime, because it can be changed into another prime (20251141506517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10125570753288 + 10125570753289.

It is an arithmetic number, because the mean of its divisors is an integer number (10125570753289).

Almost surely, 2^{20251141506577} is an apocalyptic number.

It is an amenable number.

20251141506577 is a deficient number, since it is larger than the sum of its proper divisors (1).

20251141506577 is an equidigital number, since it uses as much as digits as its factorization.

20251141506577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 588000, while the sum is 46.

The spelling of 20251141506577 in words is "twenty trillion, two hundred fifty-one billion, one hundred forty-one million, five hundred six thousand, five hundred seventy-seven".