1338257520 has 60 divisors (see below), whose sum is σ = 4494317256. Its totient is φ = 356868480.

The previous prime is 1338257509. The next prime is 1338257563. The reversal of 1338257520 is 257528331.

It is a happy number.

1338257520 is a `hidden beast` number, since 1 + 3 + 3 + 82 + 57 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 in 11 ways as a sum of consecutive naturals, for example, 928626 + ... + 930065.

Almost surely, 2^1338257520 is an apocalyptic number.

1338257520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1338257520 is an abundant number, since it is smaller than the sum of its proper divisors (3156059736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1338257520 is a wasteful number, since it uses less digits than its factorization.

1338257520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858710 (or 1858701 counting only the distinct ones).

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

The square root of 1338257520 is about 36582.2022300462. The cubic root of 1338257520 is about 1101.9956938928.

The spelling of 1338257520 in words is "one billion, three hundred thirty-eight million, two hundred fifty-seven thousand, five hundred twenty".