11201948291257 has 2 divisors, whose sum is σ = 11201948291258. Its totient is φ = 11201948291256.

The previous prime is 11201948291213. The next prime is 11201948291273. The reversal of 11201948291257 is 75219284910211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7985535605161 + 3216412686096 = 2825869^2 + 1793436^2 .

It is a cyclic number.

It is not a de Polignac number, because 11201948291257 - 2⁷ = 11201948291129 is a prime.

It is not a weakly prime, because it can be changed into another prime (11201948291057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5600974145628 + 5600974145629.

It is an arithmetic number, because the mean of its divisors is an integer number (5600974145629).

Almost surely, 2^{11201948291257} is an apocalyptic number.

It is an amenable number.

11201948291257 is a deficient number, since it is larger than the sum of its proper divisors (1).

11201948291257 is an equidigital number, since it uses as much as digits as its factorization.

11201948291257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 725760, while the sum is 52.

The spelling of 11201948291257 in words is "eleven trillion, two hundred one billion, nine hundred forty-eight million, two hundred ninety-one thousand, two hundred fifty-seven".