1300905216 has 216 divisors, whose sum is σ = 4079067720. Its totient is φ = 398721024.

The previous prime is 1300905209. The next prime is 1300905217. The reversal of 1300905216 is 6125090031.

1300905216 is a `hidden beast` number, since 130 + 0 + 9 + 0 + 521 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 83174400 + 1217730816 = 9120^2 + 34896^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1300905216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300905217) 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, 5061760 + ... + 5062016.

Almost surely, 2^1300905216 is an apocalyptic number.

1300905216 is a gapful number since it is divisible by the number (16) 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 1300905216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039533860).

1300905216 is an abundant number, since it is smaller than the sum of its proper divisors (2778162504).

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

1300905216 is an equidigital number, since it uses as much as digits as its factorization.

1300905216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1300905216 is about 36068.0636574796. The cubic root of 1300905216 is about 1091.6461438508.

Adding to 1300905216 its reverse (6125090031), we get a palindrome (7425995247).

The spelling of 1300905216 in words is "one billion, three hundred million, nine hundred five thousand, two hundred sixteen".