1014000257 has 2 divisors, whose sum is σ = 1014000258. Its totient is φ = 1014000256.

The previous prime is 1014000199. The next prime is 1014000259. The reversal of 1014000257 is 7520004101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 671898241 + 342102016 = 25921^2 + 18496^2 .

It is a cyclic number.

It is not a de Polignac number, because 1014000257 - 2⁶ = 1014000193 is a prime.

Together with 1014000259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1014000259) 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, 507000128 + 507000129.

It is an arithmetic number, because the mean of its divisors is an integer number (507000129).

Almost surely, 2^1014000257 is an apocalyptic number.

It is an amenable number.

1014000257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1014000257 is an equidigital number, since it uses as much as digits as its factorization.

1014000257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 1014000257 is about 31843.3706915584. The cubic root of 1014000257 is about 1004.6451415831.

Adding to 1014000257 its reverse (7520004101), we get a palindrome (8534004358).

The spelling of 1014000257 in words is "one billion, fourteen million, two hundred fifty-seven", and thus it is an aban number.