10193554552241 has 2 divisors, whose sum is σ = 10193554552242. Its totient is φ = 10193554552240.

The previous prime is 10193554552057. The next prime is 10193554552273. The reversal of 10193554552241 is 14225545539101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9790666032016 + 402888520225 = 3129004^2 + 634735^2 .

It is a cyclic number.

It is not a de Polignac number, because 10193554552241 - 2¹⁸ = 10193554290097 is a prime.

It is not a weakly prime, because it can be changed into another prime (10193554572241) 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, 5096777276120 + 5096777276121.

It is an arithmetic number, because the mean of its divisors is an integer number (5096777276121).

Almost surely, 2^{10193554552241} is an apocalyptic number.

It is an amenable number.

10193554552241 is a deficient number, since it is larger than the sum of its proper divisors (1).

10193554552241 is an equidigital number, since it uses as much as digits as its factorization.

10193554552241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080000, while the sum is 47.

The spelling of 10193554552241 in words is "ten trillion, one hundred ninety-three billion, five hundred fifty-four million, five hundred fifty-two thousand, two hundred forty-one".