1056315546 has 256 divisors, whose sum is σ = 2939328000. Its totient is φ = 276756480.

The previous prime is 1056315541. The next prime is 1056315613. The reversal of 1056315546 is 6455136501.

1056315546 is a `hidden beast` number, since 1 + 0 + 563 + 1 + 55 + 46 = 666.

It is a super-2 number, since 2×1056315546² = 2231605065442556232, 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 1056315546.

It is not an unprimeable number, because it can be changed into a prime (1056315541) 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 127 ways as a sum of consecutive naturals, for example, 11868670 + ... + 11868758.

It is an arithmetic number, because the mean of its divisors is an integer number (11481750).

Almost surely, 2^1056315546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056315546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469664000).

1056315546 is an abundant number, since it is smaller than the sum of its proper divisors (1883012454).

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

1056315546 is a wasteful number, since it uses less digits than its factorization.

1056315546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 1056315546 is about 32501.0083843563. The cubic root of 1056315546 is about 1018.4300936097.

The spelling of 1056315546 in words is "one billion, fifty-six million, three hundred fifteen thousand, five hundred forty-six".