218306253152657 has 2 divisors, whose sum is σ = 218306253152658. Its totient is φ = 218306253152656.

The previous prime is 218306253152599. The next prime is 218306253152677. The reversal of 218306253152657 is 756251352603812.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 158504474100736 + 59801779051921 = 12589856^2 + 7733161^2 .

It is a cyclic number.

It is not a de Polignac number, because 218306253152657 - 2⁶ = 218306253152593 is a prime.

It is not a weakly prime, because it can be changed into another prime (218306253152677) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109153126576328 + 109153126576329.

It is an arithmetic number, because the mean of its divisors is an integer number (109153126576329).

Almost surely, 2^{218306253152657} is an apocalyptic number.

It is an amenable number.

218306253152657 is a deficient number, since it is larger than the sum of its proper divisors (1).

218306253152657 is an equidigital number, since it uses as much as digits as its factorization.

218306253152657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18144000, while the sum is 56.

The spelling of 218306253152657 in words is "two hundred eighteen trillion, three hundred six billion, two hundred fifty-three million, one hundred fifty-two thousand, six hundred fifty-seven".