1300053312 has 84 divisors (see below), whose sum is σ = 3827143476. Its totient is φ = 421632000.

The previous prime is 1300053299. The next prime is 1300053329. The reversal of 1300053312 is 2133500031.

1300053312 is a `hidden beast` number, since 1 + 300 + 0 + 53 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1025024256 + 275029056 = 32016^2 + 16584^2 .

It is a super-2 number, since 2×1300053312² = 3380277228084338688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9189 + ... + 51812.

Almost surely, 2^1300053312 is an apocalyptic number.

1300053312 is a gapful number since it is divisible by the number (12) 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 1300053312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913571738).

1300053312 is an abundant number, since it is smaller than the sum of its proper divisors (2527090164).

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

1300053312 is a wasteful number, since it uses less digits than its factorization.

1300053312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61056 (or 61043 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 1300053312 is about 36056.2520514820. The cubic root of 1300053312 is about 1091.4078019180.

Adding to 1300053312 its reverse (2133500031), we get a palindrome (3433553343).

The spelling of 1300053312 in words is "one billion, three hundred million, fifty-three thousand, three hundred twelve".