1006083121 has 2 divisors, whose sum is σ = 1006083122. Its totient is φ = 1006083120.

The previous prime is 1006083097. The next prime is 1006083131. The reversal of 1006083121 is 1213806001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1005207025 + 876096 = 31705^2 + 936^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006083121 - 2¹¹ = 1006081073 is a prime.

It is a super-2 number, since 2×1006083121² = 2024406492722201282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1006083092 and 1006083101.

It is not a weakly prime, because it can be changed into another prime (1006083131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503041560 + 503041561.

It is an arithmetic number, because the mean of its divisors is an integer number (503041561).

Almost surely, 2^1006083121 is an apocalyptic number.

It is an amenable number.

1006083121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006083121 is an equidigital number, since it uses as much as digits as its factorization.

1006083121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 1006083121 is about 31718.8133605278. The cubic root of 1006083121 is about 1002.0236092434.

Adding to 1006083121 its reverse (1213806001), we get a palindrome (2219889122).

The spelling of 1006083121 in words is "one billion, six million, eighty-three thousand, one hundred twenty-one".