1305065000 has 40 divisors (see below), whose sum is σ = 3057779010. Its totient is φ = 522024000.

The previous prime is 1305064979. The next prime is 1305065009. The reversal of 1305065000 is 5605031.

It can be written as a sum of positive squares in 5 ways, for example, as 1999396 + 1303065604 = 1414^2 + 36098^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1305065009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 125507 + ... + 135506.

Almost surely, 2^1305065000 is an apocalyptic number.

1305065000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1305065000 is an abundant number, since it is smaller than the sum of its proper divisors (1752714010).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1305065000 is an equidigital number, since it uses as much as digits as its factorization.

1305065000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261039 (or 261020 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 1305065000 is about 36125.6833845396. The cubic root of 1305065000 is about 1092.8084577438.

The spelling of 1305065000 in words is "one billion, three hundred five million, sixty-five thousand".