1305350000 has 60 divisors (see below), whose sum is σ = 3161313288. Its totient is φ = 522120000.

The previous prime is 1305349999. The next prime is 1305350009. The reversal of 1305350000 is 535031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305350009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36947 + ... + 63053.

Almost surely, 2^1305350000 is an apocalyptic number.

1305350000 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 1305350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580656644).

1305350000 is an abundant number, since it is smaller than the sum of its proper divisors (1855963288).

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

1305350000 is an frugal number, since it uses more digits than its factorization.

1305350000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26140 (or 26114 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 17.

The square root of 1305350000 is about 36129.6277312679. The cubic root of 1305350000 is about 1092.8880010978. Note that the first 3 decimals are identical.

Adding to 1305350000 its reverse (535031), we get a palindrome (1305885031).

The spelling of 1305350000 in words is "one billion, three hundred five million, three hundred fifty thousand".