1053305021 has 2 divisors, whose sum is σ = 1053305022. Its totient is φ = 1053305020.

The previous prime is 1053305003. The next prime is 1053305039. The reversal of 1053305021 is 1205033501.

It is a balanced prime because it is at equal distance from previous prime (1053305003) and next prime (1053305039).

It can be written as a sum of positive squares in only one way, i.e., 689640121 + 363664900 = 26261^2 + 19070^2 .

It is a cyclic number.

It is not a de Polignac number, because 1053305021 - 2¹⁰ = 1053303997 is a prime.

It is a super-2 number, since 2×1053305021² = 2218902934527620882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1053304984 and 1053305002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1053305821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 526652510 + 526652511.

It is an arithmetic number, because the mean of its divisors is an integer number (526652511).

Almost surely, 2^1053305021 is an apocalyptic number.

It is an amenable number.

1053305021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1053305021 is an equidigital number, since it uses as much as digits as its factorization.

1053305021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 1053305021 is about 32454.6610057785. The cubic root of 1053305021 is about 1017.4616561564.

Adding to 1053305021 its reverse (1205033501), we get a palindrome (2258338522).

The spelling of 1053305021 in words is "one billion, fifty-three million, three hundred five thousand, twenty-one".