221253601 has 2 divisors, whose sum is σ = 221253602. Its totient is φ = 221253600.

The previous prime is 221253587. The next prime is 221253607. The reversal of 221253601 is 106352122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 190440000 + 30813601 = 13800^2 + 5551^2 .

It is a cyclic number.

It is not a de Polignac number, because 221253601 - 2⁵ = 221253569 is a prime.

It is not a weakly prime, because it can be changed into another prime (221253607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110626800 + 110626801.

It is an arithmetic number, because the mean of its divisors is an integer number (110626801).

Almost surely, 2^221253601 is an apocalyptic number.

It is an amenable number.

221253601 is a deficient number, since it is larger than the sum of its proper divisors (1).

221253601 is an equidigital number, since it uses as much as digits as its factorization.

221253601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 221253601 is about 14874.5958264418. The cubic root of 221253601 is about 604.8255317334.

The spelling of 221253601 in words is "two hundred twenty-one million, two hundred fifty-three thousand, six hundred one".