221033093257 has 2 divisors, whose sum is σ = 221033093258. Its totient is φ = 221033093256.

The previous prime is 221033093233. The next prime is 221033093269. The reversal of 221033093257 is 752390330122.

221033093257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 123282445456 + 97750647801 = 351116^2 + 312651^2 .

It is a cyclic number.

It is not a de Polignac number, because 221033093257 - 2¹⁵ = 221033060489 is a prime.

It is not a weakly prime, because it can be changed into another prime (221033093227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110516546628 + 110516546629.

It is an arithmetic number, because the mean of its divisors is an integer number (110516546629).

Almost surely, 2^221033093257 is an apocalyptic number.

It is an amenable number.

221033093257 is a deficient number, since it is larger than the sum of its proper divisors (1).

221033093257 is an equidigital number, since it uses as much as digits as its factorization.

221033093257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 68040, while the sum is 37.

The spelling of 221033093257 in words is "two hundred twenty-one billion, thirty-three million, ninety-three thousand, two hundred fifty-seven".