1004065121 has 2 divisors, whose sum is σ = 1004065122. Its totient is φ = 1004065120.

The previous prime is 1004065109. The next prime is 1004065123. The reversal of 1004065121 is 1215604001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 791634496 + 212430625 = 28136^2 + 14575^2 .

It is an emirp because it is prime and its reverse (1215604001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1004065121 - 2¹⁰ = 1004064097 is a prime.

Together with 1004065123, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1004065093 and 1004065102.

It is not a weakly prime, because it can be changed into another prime (1004065123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502032560 + 502032561.

It is an arithmetic number, because the mean of its divisors is an integer number (502032561).

Almost surely, 2^1004065121 is an apocalyptic number.

It is an amenable number.

1004065121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1004065121 is an equidigital number, since it uses as much as digits as its factorization.

1004065121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1004065121 is about 31686.9866191154. The cubic root of 1004065121 is about 1001.3532083346.

Adding to 1004065121 its reverse (1215604001), we get a palindrome (2219669122).

The spelling of 1004065121 in words is "one billion, four million, sixty-five thousand, one hundred twenty-one".