257148161 has 2 divisors, whose sum is σ = 257148162. Its totient is φ = 257148160.

The previous prime is 257148091. The next prime is 257148197. The reversal of 257148161 is 161841752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 223681936 + 33466225 = 14956^2 + 5785^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257148161 is a prime.

It is a super-2 number, since 2×257148161² = 132250353411363842, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (257148361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128574080 + 128574081.

It is an arithmetic number, because the mean of its divisors is an integer number (128574081).

Almost surely, 2^257148161 is an apocalyptic number.

It is an amenable number.

257148161 is a deficient number, since it is larger than the sum of its proper divisors (1).

257148161 is an equidigital number, since it uses as much as digits as its factorization.

257148161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13440, while the sum is 35.

The square root of 257148161 is about 16035.8398906948. The cubic root of 257148161 is about 635.9082718138.

The spelling of 257148161 in words is "two hundred fifty-seven million, one hundred forty-eight thousand, one hundred sixty-one".