1338407505 has 12 divisors (see below), whose sum is σ = 2319906420. Its totient is φ = 713817312.

The previous prime is 1338407489. The next prime is 1338407533. The reversal of 1338407505 is 5057048331.

It can be written as a sum of positive squares in 2 ways, for example, as 454712976 + 883694529 = 21324^2 + 29727^2 .

It is not a de Polignac number, because 1338407505 - 2⁴ = 1338407489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1338407505.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 14871150 + ... + 14871239.

It is an arithmetic number, because the mean of its divisors is an integer number (193325535).

Almost surely, 2^1338407505 is an apocalyptic number.

1338407505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1338407505 is a deficient number, since it is larger than the sum of its proper divisors (981498915).

1338407505 is a wasteful number, since it uses less digits than its factorization.

1338407505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29742400 (or 29742397 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 1338407505 is about 36584.2521448779. The cubic root of 1338407505 is about 1102.0368610193.

The spelling of 1338407505 in words is "one billion, three hundred thirty-eight million, four hundred seven thousand, five hundred five".