1381327512 has 192 divisors, whose sum is σ = 3891686400. Its totient is φ = 407773440.

The previous prime is 1381327511. The next prime is 1381327517. The reversal of 1381327512 is 2157231831.

It is a happy number.

It is a super-2 number, since 2×1381327512² = 3816131390816220288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1381327511) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9937539 + ... + 9937677.

It is an arithmetic number, because the mean of its divisors is an integer number (20269200).

Almost surely, 2^1381327512 is an apocalyptic number.

1381327512 is a gapful number since it is divisible by the number (12) 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 1381327512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945843200).

1381327512 is an abundant number, since it is smaller than the sum of its proper divisors (2510358888).

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

1381327512 is a wasteful number, since it uses less digits than its factorization.

1381327512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 231 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 1381327512 is about 37166.2146579390. The cubic root of 1381327512 is about 1113.6931640352.

The spelling of 1381327512 in words is "one billion, three hundred eighty-one million, three hundred twenty-seven thousand, five hundred twelve".