1300005300 has 144 divisors (see below), whose sum is σ = 4344846912. Its totient is φ = 296601600.

The previous prime is 1300005299. The next prime is 1300005307. The reversal of 1300005300 is 35000031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300005307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44514 + ... + 67686.

It is an arithmetic number, because the mean of its divisors is an integer number (30172548).

Almost surely, 2^1300005300 is an apocalyptic number.

1300005300 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 1300005300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172423456).

1300005300 is an abundant number, since it is smaller than the sum of its proper divisors (3044841612).

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

1300005300 is a wasteful number, since it uses less digits than its factorization.

1300005300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23218 (or 23211 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 1300005300 is about 36055.5862523410. The cubic root of 1300005300 is about 1091.3943662340.

Adding to 1300005300 its reverse (35000031), we get a palindrome (1335005331).

The spelling of 1300005300 in words is "one billion, three hundred million, five thousand, three hundred".