1331386056 has 576 divisors, whose sum is σ = 5138640000. Its totient is φ = 308206080.

The previous prime is 1331386051. The next prime is 1331386079. The reversal of 1331386056 is 6506831331.

It is a happy number.

1331386056 is a `hidden beast` number, since 1 + 33 + 13 + 8 + 605 + 6 = 666.

It is a super-2 number, since 2×1331386056² = 3545177660222470272, which contains 22 as substring.

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

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 1331386056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331386051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45909850 + ... + 45909878.

It is an arithmetic number, because the mean of its divisors is an integer number (8921250).

Almost surely, 2^1331386056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331386056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569320000).

1331386056 is an abundant number, since it is smaller than the sum of its proper divisors (3807253944).

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

1331386056 is a wasteful number, since it uses less digits than its factorization.

1331386056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1331386056 is about 36488.1632313823. The cubic root of 1331386056 is about 1100.1063412344.

The spelling of 1331386056 in words is "one billion, three hundred thirty-one million, three hundred eighty-six thousand, fifty-six".