1413584353 has 2 divisors, whose sum is σ = 1413584354. Its totient is φ = 1413584352.

The previous prime is 1413584351. The next prime is 1413584387. The reversal of 1413584353 is 3534853141.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 891141904 + 522442449 = 29852^2 + 22857^2 .

It is a cyclic number.

It is not a de Polignac number, because 1413584353 - 2¹ = 1413584351 is a prime.

It is a super-3 number, since 3×1413584353³ (a number of 28 digits) contains 333 as substring.

Together with 1413584351, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1413584351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 706792176 + 706792177.

It is an arithmetic number, because the mean of its divisors is an integer number (706792177).

Almost surely, 2^1413584353 is an apocalyptic number.

It is an amenable number.

1413584353 is a deficient number, since it is larger than the sum of its proper divisors (1).

1413584353 is an equidigital number, since it uses as much as digits as its factorization.

1413584353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 86400, while the sum is 37.

The square root of 1413584353 is about 37597.6641960641. The cubic root of 1413584353 is about 1122.2955556783.

The spelling of 1413584353 in words is "one billion, four hundred thirteen million, five hundred eighty-four thousand, three hundred fifty-three".