1305200000 has 192 divisors, whose sum is σ = 3513993840. Its totient is φ = 480000000.

The previous prime is 1305199997. The next prime is 1305200033. The reversal of 1305200000 is 25031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5199875 + ... + 5200125.

Almost surely, 2^1305200000 is an apocalyptic number.

1305200000 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 1305200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756996920).

1305200000 is an abundant number, since it is smaller than the sum of its proper divisors (2208793840).

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

1305200000 is an frugal number, since it uses more digits than its factorization.

1305200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 1305200000 is about 36127.5518129862. The cubic root of 1305200000 is about 1092.8461376181.

Adding to 1305200000 its reverse (25031), we get a palindrome (1305225031).

It can be divided in two parts, 130 and 5200000, that multiplied together give a square (676000000 = 26000²).

The spelling of 1305200000 in words is "one billion, three hundred five million, two hundred thousand".