221938512723553 has 2 divisors, whose sum is σ = 221938512723554. Its totient is φ = 221938512723552.

The previous prime is 221938512723539. The next prime is 221938512723563. The reversal of 221938512723553 is 355327215839122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 145735791563664 + 76202721159889 = 12072108^2 + 8729417^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-221938512723553 is a prime.

It is not a weakly prime, because it can be changed into another prime (221938512723503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110969256361776 + 110969256361777.

It is an arithmetic number, because the mean of its divisors is an integer number (110969256361777).

Almost surely, 2^{221938512723553} is an apocalyptic number.

It is an amenable number.

221938512723553 is a deficient number, since it is larger than the sum of its proper divisors (1).

221938512723553 is an equidigital number, since it uses as much as digits as its factorization.

221938512723553 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27216000, while the sum is 58.

The spelling of 221938512723553 in words is "two hundred twenty-one trillion, nine hundred thirty-eight billion, five hundred twelve million, seven hundred twenty-three thousand, five hundred fifty-three".