1338475305 has 32 divisors (see below), whose sum is σ = 2166611328. Its totient is φ = 705536000.

The previous prime is 1338475289. The next prime is 1338475337. The reversal of 1338475305 is 5035748331.

It is not a de Polignac number, because 1338475305 - 2⁴ = 1338475289 is a prime.

It is a super-2 number, since 2×1338475305² = 3583032284189686050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1028155 + ... + 1029455.

It is an arithmetic number, because the mean of its divisors is an integer number (67706604).

Almost surely, 2^1338475305 is an apocalyptic number.

1338475305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1338475305 is a deficient number, since it is larger than the sum of its proper divisors (828136023).

1338475305 is a wasteful number, since it uses less digits than its factorization.

1338475305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057.

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 1338475305 is about 36585.1787613509. The cubic root of 1338475305 is about 1102.0554694121.

The spelling of 1338475305 in words is "one billion, three hundred thirty-eight million, four hundred seventy-five thousand, three hundred five".