1305258265441 has 27 divisors (see below), whose sum is σ = 1477896331737. Its totient is φ = 1152167221920.

The previous prime is 1305258265433. The next prime is 1305258265471. The reversal of 1305258265441 is 1445628525031.

It is a happy number.

The square root of 1305258265441 is 1142479.

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 6351293025 + 1298906972416 = 79695^2 + 1139696^2 .

It is not a de Polignac number, because 1305258265441 - 2³ = 1305258265433 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1305258265391 and 1305258265400.

It is not an unprimeable number, because it can be changed into a prime (1305258265471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 341599311 + ... + 341603131.

Almost surely, 2^{1305258265441} is an apocalyptic number.

1305258265441 is the 1142479-th square number.

1305258265441 is the 571240-th centered octagonal number.

It is an amenable number.

1305258265441 is a deficient number, since it is larger than the sum of its proper divisors (172638066296).

1305258265441 is an frugal number, since it uses more digits than its factorization.

1305258265441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7714 (or 3857 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 46.

The spelling of 1305258265441 in words is "one trillion, three hundred five billion, two hundred fifty-eight million, two hundred sixty-five thousand, four hundred forty-one".