1056256512 has 160 divisors (see below), whose sum is σ = 3137745600. Its totient is φ = 313786368.

The previous prime is 1056256511. The next prime is 1056256559. The reversal of 1056256512 is 2156526501.

It is a super-2 number, since 2×1056256512² = 2231355638284812288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056256511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 495064 + ... + 497192.

It is an arithmetic number, because the mean of its divisors is an integer number (19610910).

Almost surely, 2^1056256512 is an apocalyptic number.

1056256512 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 1056256512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568872800).

1056256512 is an abundant number, since it is smaller than the sum of its proper divisors (2081489088).

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

1056256512 is a wasteful number, since it uses less digits than its factorization.

1056256512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 1056256512 is about 32500.1001844610. The cubic root of 1056256512 is about 1018.4111210207.

The spelling of 1056256512 in words is "one billion, fifty-six million, two hundred fifty-six thousand, five hundred twelve".