1306285965 has 24 divisors (see below), whose sum is σ = 2306954520. Its totient is φ = 683539584.

The previous prime is 1306285951. The next prime is 1306285969. The reversal of 1306285965 is 5695826031.

1306285965 is a `hidden beast` number, since 1 + 30 + 6 + 28 + 596 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20848356 + 1285437609 = 4566^2 + 35853^2 .

It is not a de Polignac number, because 1306285965 - 2⁷ = 1306285837 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1306285965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306285969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271470 + ... + 276239.

It is an arithmetic number, because the mean of its divisors is an integer number (96123105).

Almost surely, 2^1306285965 is an apocalyptic number.

1306285965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1306285965 is a deficient number, since it is larger than the sum of its proper divisors (1000668555).

1306285965 is a wasteful number, since it uses less digits than its factorization.

1306285965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547773 (or 547770 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 1306285965 is about 36142.5782837915. The cubic root of 1306285965 is about 1093.1491470314.

The spelling of 1306285965 in words is "one billion, three hundred six million, two hundred eighty-five thousand, nine hundred sixty-five".