2001002057 has 2 divisors, whose sum is σ = 2001002058. Its totient is φ = 2001002056.

The previous prime is 2001002011. The next prime is 2001002077. The reversal of 2001002057 is 7502001002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1867622656 + 133379401 = 43216^2 + 11549^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001002057 - 2¹⁸ = 2000739913 is a prime.

It is not a weakly prime, because it can be changed into another prime (2001002077) 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, 1000501028 + 1000501029.

It is an arithmetic number, because the mean of its divisors is an integer number (1000501029).

Almost surely, 2^2001002057 is an apocalyptic number.

It is an amenable number.

2001002057 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001002057 is an equidigital number, since it uses as much as digits as its factorization.

2001002057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 2001002057 is about 44732.5614848960. The cubic root of 2001002057 is about 1260.1314335473.

Adding to 2001002057 its reverse (7502001002), we get a palindrome (9503003059).

The spelling of 2001002057 in words is "two billion, one million, two thousand, fifty-seven".