1002001057 has 2 divisors, whose sum is σ = 1002001058. Its totient is φ = 1002001056.

The previous prime is 1002000997. The next prime is 1002001073. The reversal of 1002001057 is 7501002001.

It is an a-pointer prime, because the next prime (1002001073) can be obtained adding 1002001057 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 641153041 + 360848016 = 25321^2 + 18996^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1002001057 is a prime.

It is a super-2 number, since 2×1002001057² = 2008012236458234498, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1002001057.

It is not a weakly prime, because it can be changed into another prime (1002001087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501000528 + 501000529.

It is an arithmetic number, because the mean of its divisors is an integer number (501000529).

Almost surely, 2^1002001057 is an apocalyptic number.

It is an amenable number.

1002001057 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002001057 is an equidigital number, since it uses as much as digits as its factorization.

1002001057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 1002001057 is about 31654.4002786342. The cubic root of 1002001057 is about 1000.6665745796. Note that the first 3 decimals are identical.

Adding to 1002001057 its reverse (7501002001), we get a palindrome (8503003058).

The spelling of 1002001057 in words is "one billion, two million, one thousand, fifty-seven".