1352706849 has 24 divisors (see below), whose sum is σ = 2105480832. Its totient is φ = 831932640.

The previous prime is 1352706833. The next prime is 1352706877. The reversal of 1352706849 is 9486072531.

1352706849 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1352706849 - 2⁴ = 1352706833 is a prime.

1352706849 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (1352706829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314584 + ... + 318854.

It is an arithmetic number, because the mean of its divisors is an integer number (87728368).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1352706849 = 2705413698, but 3⋅1352706849 = 4058120547 is not.

Almost surely, 2^1352706849 is an apocalyptic number.

It is an amenable number.

1352706849 is a deficient number, since it is larger than the sum of its proper divisors (752773983).

1352706849 is a wasteful number, since it uses less digits than its factorization.

1352706849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6997 (or 6994 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1352706849 is about 36779.1632449679. The cubic root of 1352706849 is about 1105.9476317736.

The spelling of 1352706849 in words is "one billion, three hundred fifty-two million, seven hundred six thousand, eight hundred forty-nine".