230689568657257 has 2 divisors, whose sum is σ = 230689568657258. Its totient is φ = 230689568657256.

The previous prime is 230689568657203. The next prime is 230689568657267. The reversal of 230689568657257 is 752756865986032.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 151937770300416 + 78751798356841 = 12326304^2 + 8874221^2 .

It is a cyclic number.

It is not a de Polignac number, because 230689568657257 - 2²³ = 230689560268649 is a prime.

It is not a weakly prime, because it can be changed into another prime (230689568657267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115344784328628 + 115344784328629.

It is an arithmetic number, because the mean of its divisors is an integer number (115344784328629).

Almost surely, 2^{230689568657257} is an apocalyptic number.

It is an amenable number.

230689568657257 is a deficient number, since it is larger than the sum of its proper divisors (1).

230689568657257 is an equidigital number, since it uses as much as digits as its factorization.

230689568657257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9144576000, while the sum is 79.

The spelling of 230689568657257 in words is "two hundred thirty trillion, six hundred eighty-nine billion, five hundred sixty-eight million, six hundred fifty-seven thousand, two hundred fifty-seven".