1338513 has 16 divisors (see below), whose sum is σ = 1990656. Its totient is φ = 793040.

The previous prime is 1338499. The next prime is 1338517. The reversal of 1338513 is 3158331.

1338513 is nontrivially palindromic in base 5.

It is a cyclic number.

It is not a de Polignac number, because 1338513 - 2⁵ = 1338481 is a prime.

1338513 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1338517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1120 + ... + 1982.

It is an arithmetic number, because the mean of its divisors is an integer number (124416).

2^1338513 is an apocalyptic number.

It is an amenable number.

1338513 is a deficient number, since it is larger than the sum of its proper divisors (652143).

1338513 is a wasteful number, since it uses less digits than its factorization.

1338513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924.

The product of its digits is 1080, while the sum is 24.

The square root of 1338513 is about 1156.9412258192. The cubic root of 1338513 is about 110.2065814913.

It can be divided in two parts, 133 and 8513, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 1338513 in words is "one million, three hundred thirty-eight thousand, five hundred thirteen".