1352300013 has 24 divisors (see below), whose sum is σ = 2011222200. Its totient is φ = 874934784.

The previous prime is 1352299987. The next prime is 1352300021. The reversal of 1352300013 is 3100032531.

1352300013 is a `hidden beast` number, since 1 + 352 + 300 + 0 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 571544649 + 780755364 = 23907^2 + 27942^2 .

It is not a de Polignac number, because 1352300013 - 2⁸ = 1352299757 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352300023) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 131233 + ... + 141161.

It is an arithmetic number, because the mean of its divisors is an integer number (83800925).

Almost surely, 2^1352300013 is an apocalyptic number.

It is an amenable number.

1352300013 is a deficient number, since it is larger than the sum of its proper divisors (658922187).

1352300013 is a wasteful number, since it uses less digits than its factorization.

1352300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10381 (or 10378 counting only the distinct ones).

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

The square root of 1352300013 is about 36773.6320343803. The cubic root of 1352300013 is about 1105.8367468404.

Adding to 1352300013 its reverse (3100032531), we get a palindrome (4452332544).

The spelling of 1352300013 in words is "one billion, three hundred fifty-two million, three hundred thousand, thirteen".