1381339520 has 256 divisors, whose sum is σ = 3965760000. Its totient is φ = 454164480.

The previous prime is 1381339511. The next prime is 1381339559. The reversal of 1381339520 is 259331831.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3076256 + ... + 3076704.

It is an arithmetic number, because the mean of its divisors is an integer number (15491250).

Almost surely, 2^1381339520 is an apocalyptic number.

1381339520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1381339520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982880000).

1381339520 is an abundant number, since it is smaller than the sum of its proper divisors (2584420480).

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

1381339520 is a wasteful number, since it uses less digits than its factorization.

1381339520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 1381339520 is about 37166.3762021535. The cubic root of 1381339520 is about 1113.6963911697.

The spelling of 1381339520 in words is "one billion, three hundred eighty-one million, three hundred thirty-nine thousand, five hundred twenty".