1056381312 has 128 divisors (see below), whose sum is σ = 3261715200. Its totient is φ = 296663040.

The previous prime is 1056381307. The next prime is 1056381367. The reversal of 1056381312 is 2131836501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1056381312² = 2231882952685682688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1056381312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155262 + ... + 161922.

It is an arithmetic number, because the mean of its divisors is an integer number (25482150).

Almost surely, 2^1056381312 is an apocalyptic number.

1056381312 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 1056381312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630857600).

1056381312 is an abundant number, since it is smaller than the sum of its proper divisors (2205333888).

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

1056381312 is an equidigital number, since it uses as much as digits as its factorization.

1056381312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6744 (or 6732 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1056381312 is about 32502.0201218324. The cubic root of 1056381312 is about 1018.4512289241.

The spelling of 1056381312 in words is "one billion, fifty-six million, three hundred eighty-one thousand, three hundred twelve".