10041505550257 has 2 divisors, whose sum is σ = 10041505550258. Its totient is φ = 10041505550256.

The previous prime is 10041505550239. The next prime is 10041505550273. The reversal of 10041505550257 is 75205550514001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8520701112576 + 1520804437681 = 2919024^2 + 1233209^2 .

It is a cyclic number.

It is not a de Polignac number, because 10041505550257 - 2⁷ = 10041505550129 is a prime.

It is not a weakly prime, because it can be changed into another prime (10041505550957) 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, 5020752775128 + 5020752775129.

It is an arithmetic number, because the mean of its divisors is an integer number (5020752775129).

Almost surely, 2^{10041505550257} is an apocalyptic number.

It is an amenable number.

10041505550257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10041505550257 is an equidigital number, since it uses as much as digits as its factorization.

10041505550257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 175000, while the sum is 40.

The spelling of 10041505550257 in words is "ten trillion, forty-one billion, five hundred five million, five hundred fifty thousand, two hundred fifty-seven".