164258345257 has 2 divisors, whose sum is σ = 164258345258. Its totient is φ = 164258345256.

The previous prime is 164258345249. The next prime is 164258345297. The reversal of 164258345257 is 752543852461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 162529116201 + 1729229056 = 403149^2 + 41584^2 .

It is an emirp because it is prime and its reverse (752543852461) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 164258345257 - 2³ = 164258345249 is a prime.

It is not a weakly prime, because it can be changed into another prime (164258345297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82129172628 + 82129172629.

It is an arithmetic number, because the mean of its divisors is an integer number (82129172629).

Almost surely, 2^164258345257 is an apocalyptic number.

It is an amenable number.

164258345257 is a deficient number, since it is larger than the sum of its proper divisors (1).

164258345257 is an equidigital number, since it uses as much as digits as its factorization.

164258345257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8064000, while the sum is 52.

The spelling of 164258345257 in words is "one hundred sixty-four billion, two hundred fifty-eight million, three hundred forty-five thousand, two hundred fifty-seven".