1305013200 has 120 divisors (see below), whose sum is σ = 4315366656. Its totient is φ = 336768000.

The previous prime is 1305013187. The next prime is 1305013201. The reversal of 1305013200 is 23105031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1305013200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305013201) 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, 19660 + ... + 54740.

Almost surely, 2^1305013200 is an apocalyptic number.

1305013200 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 1305013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157683328).

1305013200 is an abundant number, since it is smaller than the sum of its proper divisors (3010353456).

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

1305013200 is a wasteful number, since it uses less digits than its factorization.

1305013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35133 (or 35122 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 1305013200 is about 36124.9664359706. The cubic root of 1305013200 is about 1092.7939991467.

Adding to 1305013200 its reverse (23105031), we get a palindrome (1328118231).

The spelling of 1305013200 in words is "one billion, three hundred five million, thirteen thousand, two hundred".