1306249056 has 216 divisors, whose sum is σ = 4356831024. Its totient is φ = 370137600.

The previous prime is 1306249039. The next prime is 1306249123. The reversal of 1306249056 is 6509426031.

It is a happy number.

It is a super-2 number, since 2×1306249056² = 3412573192601782272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1306249056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2130606 + ... + 2131218.

It is an arithmetic number, because the mean of its divisors is an integer number (20170514).

Almost surely, 2^1306249056 is an apocalyptic number.

1306249056 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 1306249056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178415512).

1306249056 is an abundant number, since it is smaller than the sum of its proper divisors (3050581968).

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

1306249056 is a wasteful number, since it uses less digits than its factorization.

1306249056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1306249056 is about 36142.0676774310. The cubic root of 1306249056 is about 1093.1388513221.

The spelling of 1306249056 in words is "one billion, three hundred six million, two hundred forty-nine thousand, fifty-six".