221652265306133 has 2 divisors, whose sum is σ = 221652265306134. Its totient is φ = 221652265306132.

The previous prime is 221652265306103. The next prime is 221652265306163. The reversal of 221652265306133 is 331603562256122.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (221652265306103) and next prime (221652265306163).

It can be written as a sum of positive squares in only one way, i.e., 190620491545444 + 31031773760689 = 13806538^2 + 5570617^2 .

It is a cyclic number.

It is not a de Polignac number, because 221652265306133 - 2¹⁶ = 221652265240597 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221652265306103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110826132653066 + 110826132653067.

It is an arithmetic number, because the mean of its divisors is an integer number (110826132653067).

Almost surely, 2^{221652265306133} is an apocalyptic number.

It is an amenable number.

221652265306133 is a deficient number, since it is larger than the sum of its proper divisors (1).

221652265306133 is an equidigital number, since it uses as much as digits as its factorization.

221652265306133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2332800, while the sum is 47.

The spelling of 221652265306133 in words is "two hundred twenty-one trillion, six hundred fifty-two billion, two hundred sixty-five million, three hundred six thousand, one hundred thirty-three".