1001328857 has 2 divisors, whose sum is σ = 1001328858. Its totient is φ = 1001328856.

The previous prime is 1001328767. The next prime is 1001328859. The reversal of 1001328857 is 7588231001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 992502016 + 8826841 = 31504^2 + 2971^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001328857 - 2¹⁶ = 1001263321 is a prime.

Together with 1001328859, 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 (1001328859) 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, 500664428 + 500664429.

It is an arithmetic number, because the mean of its divisors is an integer number (500664429).

Almost surely, 2^1001328857 is an apocalyptic number.

It is an amenable number.

1001328857 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001328857 is an equidigital number, since it uses as much as digits as its factorization.

1001328857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 1001328857 is about 31643.7807001629. The cubic root of 1001328857 is about 1000.4427562713.

Adding to 1001328857 its reverse (7588231001), we get a palindrome (8589559858).

The spelling of 1001328857 in words is "one billion, one million, three hundred twenty-eight thousand, eight hundred fifty-seven".