1338678653 has 8 divisors (see below), whose sum is σ = 1444493400. Its totient is φ = 1233269568.

The previous prime is 1338678647. The next prime is 1338678707. The reversal of 1338678653 is 3568768331.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 487614724 + 851063929 = 22082^2 + 29173^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1338678653 - 2²⁸ = 1070243197 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338678613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94538 + ... + 107771.

It is an arithmetic number, because the mean of its divisors is an integer number (180561675).

Almost surely, 2^1338678653 is an apocalyptic number.

1338678653 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1338678653 is a deficient number, since it is larger than the sum of its proper divisors (105814747).

1338678653 is a wasteful number, since it uses less digits than its factorization.

1338678653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202831.

The product of its digits is 2177280, while the sum is 50.

The square root of 1338678653 is about 36587.9577593503. The cubic root of 1338678653 is about 1102.1112765500. Note that the first 3 decimals are identical.

It can be divided in two parts, 1338678 and 653, that added together give a palindrome (1339331).

The spelling of 1338678653 in words is "one billion, three hundred thirty-eight million, six hundred seventy-eight thousand, six hundred fifty-three".