1300006512 has 120 divisors (see below), whose sum is σ = 4174177280. Its totient is φ = 369982080.

The previous prime is 1300006489. The next prime is 1300006523. The reversal of 1300006512 is 2156000031.

1300006512 is a `hidden beast` number, since 13 + 0 + 0 + 0 + 0 + 651 + 2 = 666.

It is a super-2 number, since 2×1300006512² = 3380033862484812288, 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 23 ways as a sum of consecutive naturals, for example, 270789 + ... + 275547.

Almost surely, 2^1300006512 is an apocalyptic number.

1300006512 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 1300006512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087088640).

1300006512 is an abundant number, since it is smaller than the sum of its proper divisors (2874170768).

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

1300006512 is a wasteful number, since it uses less digits than its factorization.

1300006512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5051 (or 5042 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1300006512 is about 36055.6030597187. The cubic root of 1300006512 is about 1091.3947054043.

Adding to 1300006512 its reverse (2156000031), we get a palindrome (3456006543).

The spelling of 1300006512 in words is "one billion, three hundred million, six thousand, five hundred twelve".