218306253152791 has 2 divisors, whose sum is σ = 218306253152792. Its totient is φ = 218306253152790.

The previous prime is 218306253152707. The next prime is 218306253152803. The reversal of 218306253152791 is 197251352603812.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 218306253152791 - 2⁴¹ = 216107229897239 is a prime.

It is a super-2 number, since 2×218306253152791² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (218306223152791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109153126576395 + 109153126576396.

It is an arithmetic number, because the mean of its divisors is an integer number (109153126576396).

Almost surely, 2^{218306253152791} is an apocalyptic number.

218306253152791 is a deficient number, since it is larger than the sum of its proper divisors (1).

218306253152791 is an equidigital number, since it uses as much as digits as its factorization.

218306253152791 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5443200, while the sum is 55.

The spelling of 218306253152791 in words is "two hundred eighteen trillion, three hundred six billion, two hundred fifty-three million, one hundred fifty-two thousand, seven hundred ninety-one".