225205601 has 2 divisors, whose sum is σ = 225205602. Its totient is φ = 225205600.

The previous prime is 225205573. The next prime is 225205609. The reversal of 225205601 is 106502522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 184552225 + 40653376 = 13585^2 + 6376^2 .

It is a cyclic number.

It is not a de Polignac number, because 225205601 - 2²⁶ = 158096737 is a prime.

It is not a weakly prime, because it can be changed into another prime (225205609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112602800 + 112602801.

It is an arithmetic number, because the mean of its divisors is an integer number (112602801).

Almost surely, 2^225205601 is an apocalyptic number.

It is an amenable number.

225205601 is a deficient number, since it is larger than the sum of its proper divisors (1).

225205601 is an equidigital number, since it uses as much as digits as its factorization.

225205601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 225205601 is about 15006.8518017604. The cubic root of 225205601 is about 608.4054034253.

The spelling of 225205601 in words is "two hundred twenty-five million, two hundred five thousand, six hundred one".