1000040257 has 2 divisors, whose sum is σ = 1000040258. Its totient is φ = 1000040256.

The previous prime is 1000040203. The next prime is 1000040309. The reversal of 1000040257 is 7520400001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 640899856 + 359140401 = 25316^2 + 18951^2 .

It is an emirp because it is prime and its reverse (7520400001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000040257 - 2²³ = 991651649 is a prime.

It is not a weakly prime, because it can be changed into another prime (1040040257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500020128 + 500020129.

It is an arithmetic number, because the mean of its divisors is an integer number (500020129).

Almost surely, 2^1000040257 is an apocalyptic number.

It is an amenable number.

1000040257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000040257 is an equidigital number, since it uses as much as digits as its factorization.

1000040257 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 19.

The square root of 1000040257 is about 31623.4131143367. The cubic root of 1000040257 is about 1000.0134188199.

Adding to 1000040257 its reverse (7520400001), we get a palindrome (8520440258).

The spelling of 1000040257 in words is "one billion, forty thousand, two hundred fifty-seven".