1005055321 has 2 divisors, whose sum is σ = 1005055322. Its totient is φ = 1005055320.

The previous prime is 1005055277. The next prime is 1005055333. The reversal of 1005055321 is 1235505001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 546624400 + 458430921 = 23380^2 + 21411^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005055321 - 2¹³ = 1005047129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005055292 and 1005055301.

It is not a weakly prime, because it can be changed into another prime (1005055391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502527660 + 502527661.

It is an arithmetic number, because the mean of its divisors is an integer number (502527661).

Almost surely, 2^1005055321 is an apocalyptic number.

It is an amenable number.

1005055321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005055321 is an equidigital number, since it uses as much as digits as its factorization.

1005055321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 750, while the sum is 22.

The square root of 1005055321 is about 31702.6074795118. The cubic root of 1005055321 is about 1001.6822753626.

The spelling of 1005055321 in words is "one billion, five million, fifty-five thousand, three hundred twenty-one".