1048213535329 has 9 divisors (see below), whose sum is σ = 1051894741779. Its totient is φ = 1044545177520.

The previous prime is 1048213535311. The next prime is 1048213535333. The reversal of 1048213535329 is 9235353128401.

The square root of 1048213535329 is 1023823.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6687150625 + 1041526384704 = 81775^2 + 1020552^2 .

It is not a de Polignac number, because 1048213535329 - 2⁵ = 1048213535297 is a prime.

It is a super-2 number, since 2×1048213535329² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1048213535429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 320454964 + ... + 320458234.

It is an arithmetic number, because the mean of its divisors is an integer number (116877193531).

Almost surely, 2^{1048213535329} is an apocalyptic number.

1048213535329 is the 1023823-rd square number.

1048213535329 is the 511912-nd centered octagonal number.

It is an amenable number.

1048213535329 is a deficient number, since it is larger than the sum of its proper divisors (3681206450).

1048213535329 is an frugal number, since it uses more digits than its factorization.

1048213535329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7168 (or 3584 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 46.

The spelling of 1048213535329 in words is "one trillion, forty-eight billion, two hundred thirteen million, five hundred thirty-five thousand, three hundred twenty-nine".