1003001057 has 2 divisors, whose sum is σ = 1003001058. Its totient is φ = 1003001056.

The previous prime is 1003001039. The next prime is 1003001059. The reversal of 1003001057 is 7501003001.

1003001057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 781705681 + 221295376 = 27959^2 + 14876^2 .

It is an emirp because it is prime and its reverse (7501003001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1003001057 - 2¹² = 1002996961 is a prime.

It is a super-2 number, since 2×1003001057² = 2012022240686234498, which contains 22 as substring.

Together with 1003001059, 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 (1003001059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501500528 + 501500529.

It is an arithmetic number, because the mean of its divisors is an integer number (501500529).

Almost surely, 2^1003001057 is an apocalyptic number.

It is an amenable number.

1003001057 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003001057 is an equidigital number, since it uses as much as digits as its factorization.

1003001057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 1003001057 is about 31670.1919318466. The cubic root of 1003001057 is about 1000.9993532936. Note that the first 3 decimals are identical.

Adding to 1003001057 its reverse (7501003001), we get a palindrome (8504004058).

The spelling of 1003001057 in words is "one billion, three million, one thousand, fifty-seven".