205222410013 has 2 divisors, whose sum is σ = 205222410014. Its totient is φ = 205222410012.

The previous prime is 205222409999. The next prime is 205222410037. The reversal of 205222410013 is 310014222502.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 175408517124 + 29813892889 = 418818^2 + 172667^2 .

It is a cyclic number.

It is not a de Polignac number, because 205222410013 - 2⁵ = 205222409981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205222410083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102611205006 + 102611205007.

It is an arithmetic number, because the mean of its divisors is an integer number (102611205007).

Almost surely, 2^205222410013 is an apocalyptic number.

It is an amenable number.

205222410013 is a deficient number, since it is larger than the sum of its proper divisors (1).

205222410013 is an equidigital number, since it uses as much as digits as its factorization.

205222410013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 205222410013 its reverse (310014222502), we get a palindrome (515236632515).

The spelling of 205222410013 in words is "two hundred five billion, two hundred twenty-two million, four hundred ten thousand, thirteen".