1305545000 has 80 divisors (see below), whose sum is σ = 3142009860. Its totient is φ = 508032000.

The previous prime is 1305544957. The next prime is 1305545009. The reversal of 1305545000 is 5455031.

It can be written as a sum of positive squares in 10 ways, for example, as 132756484 + 1172788516 = 11522^2 + 34246^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305545009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 181472 + ... + 188528.

Almost surely, 2^1305545000 is an apocalyptic number.

1305545000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305545000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571004930).

1305545000 is an abundant number, since it is smaller than the sum of its proper divisors (1836464860).

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

1305545000 is an equidigital number, since it uses as much as digits as its factorization.

1305545000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7120 (or 7101 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 1305545000 is about 36132.3262467282. The cubic root of 1305545000 is about 1092.9424188272.

The spelling of 1305545000 in words is "one billion, three hundred five million, five hundred forty-five thousand".