1064829284021 has 2 divisors, whose sum is σ = 1064829284022. Its totient is φ = 1064829284020.

The previous prime is 1064829283949. The next prime is 1064829284069. The reversal of 1064829284021 is 1204829284601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 950159007121 + 114670276900 = 974761^2 + 338630^2 .

It is an emirp because it is prime and its reverse (1204829284601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1064829284021 - 2³⁸ = 789951377077 is a prime.

It is a super-2 number, since 2×1064829284021² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1064829284081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 532414642010 + 532414642011.

It is an arithmetic number, because the mean of its divisors is an integer number (532414642011).

Almost surely, 2^{1064829284021} is an apocalyptic number.

It is an amenable number.

1064829284021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1064829284021 is an equidigital number, since it uses as much as digits as its factorization.

1064829284021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 442368, while the sum is 47.

The spelling of 1064829284021 in words is "one trillion, sixty-four billion, eight hundred twenty-nine million, two hundred eighty-four thousand, twenty-one".