1061264651329 has 9 divisors (see below), whose sum is σ = 1063495540233. Its totient is φ = 1059038438832.

The previous prime is 1061264651323. The next prime is 1061264651351. The reversal of 1061264651329 is 9231564621601.

The square root of 1061264651329 is 1030177.

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

It can be written as a sum of positive squares in 4 ways, for example, as 48922804225 + 1012341847104 = 221185^2 + 1006152^2 .

It is not a de Polignac number, because 1061264651329 - 2²⁹ = 1060727780417 is a prime.

It is a super-2 number, since 2×1061264651329² (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 (1061264651323) 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, 730394767 + ... + 730396219.

It is an arithmetic number, because the mean of its divisors is an integer number (118166171137).

Almost surely, 2^{1061264651329} is an apocalyptic number.

1061264651329 is the 1030177-th square number.

1061264651329 is the 515089-th centered octagonal number.

It is an amenable number.

1061264651329 is a deficient number, since it is larger than the sum of its proper divisors (2230888904).

1061264651329 is an frugal number, since it uses more digits than its factorization.

1061264651329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4324 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 1061264651329 in words is "one trillion, sixty-one billion, two hundred sixty-four million, six hundred fifty-one thousand, three hundred twenty-nine".