1306042752 has 128 divisors (see below), whose sum is σ = 3996115200. Its totient is φ = 370206720.

The previous prime is 1306042747. The next prime is 1306042763. The reversal of 1306042752 is 2572406031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×1306042752³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350274 + ... + 353982.

It is an arithmetic number, because the mean of its divisors is an integer number (31219650).

Almost surely, 2^1306042752 is an apocalyptic number.

1306042752 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 1306042752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998057600).

1306042752 is an abundant number, since it is smaller than the sum of its proper divisors (2690072448).

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

1306042752 is a wasteful number, since it uses less digits than its factorization.

1306042752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3864 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 1306042752 is about 36139.2134944855. The cubic root of 1306042752 is about 1093.0812995634.

Adding to 1306042752 its reverse (2572406031), we get a palindrome (3878448783).

The spelling of 1306042752 in words is "one billion, three hundred six million, forty-two thousand, seven hundred fifty-two".