1306013832 has 36 divisors (see below), whose sum is σ = 3537951495. Its totient is φ = 435235728.

The previous prime is 1306013803. The next prime is 1306013833. The reversal of 1306013832 is 2383106031.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 653006916 + 653006916 = 25554^2 + 25554^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=25554.

It is a junction number, because it is equal to n+sod(n) for n = 1306013796 and 1306013805.

It is not an unprimeable number, because it can be changed into a prime (1306013833) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 304519 + ... + 308777.

Almost surely, 2^1306013832 is an apocalyptic number.

1306013832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1306013832 is an abundant number, since it is smaller than the sum of its proper divisors (2231937663).

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

1306013832 is an frugal number, since it uses more digits than its factorization.

1306013832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8530 (or 4264 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1306013832 is about 36138.8133728821. The cubic root of 1306013832 is about 1093.0732313884.

Multiplying 1306013832 by its product of nonzero digits (2592), we get a square (3385187852544 = 1839888²).

Adding to 1306013832 its reverse (2383106031), we get a palindrome (3689119863).

The spelling of 1306013832 in words is "one billion, three hundred six million, thirteen thousand, eight hundred thirty-two".