1005451121 has 2 divisors, whose sum is σ = 1005451122. Its totient is φ = 1005451120.

The previous prime is 1005451099. The next prime is 1005451123. The reversal of 1005451121 is 1211545001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 526060096 + 479391025 = 22936^2 + 21895^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005451121 - 2¹⁴ = 1005434737 is a prime.

Together with 1005451123, 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 = 1005451093 and 1005451102.

It is not a weakly prime, because it can be changed into another prime (1005451123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502725560 + 502725561.

It is an arithmetic number, because the mean of its divisors is an integer number (502725561).

Almost surely, 2^1005451121 is an apocalyptic number.

It is an amenable number.

1005451121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005451121 is an equidigital number, since it uses as much as digits as its factorization.

1005451121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 200, while the sum is 20.

The square root of 1005451121 is about 31708.8492537966. The cubic root of 1005451121 is about 1001.8137486602.

Adding to 1005451121 its reverse (1211545001), we get a palindrome (2216996122).

The spelling of 1005451121 in words is "one billion, five million, four hundred fifty-one thousand, one hundred twenty-one".