1056268512 has 264 divisors, whose sum is σ = 3437340984. Its totient is φ = 317447424.

The previous prime is 1056268483. The next prime is 1056268513. The reversal of 1056268512 is 2158626501.

1056268512 is a `hidden beast` number, since 1 + 0 + 562 + 6 + 85 + 12 = 666.

It is a super-2 number, since 2×1056268512² = 2231406338885388288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056268513) by changing a digit.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 24564363 + ... + 24564405.

It is an arithmetic number, because the mean of its divisors is an integer number (13020231).

Almost surely, 2^1056268512 is an apocalyptic number.

1056268512 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 1056268512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718670492).

1056268512 is an abundant number, since it is smaller than the sum of its proper divisors (2381072472).

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

1056268512 is an frugal number, since it uses more digits than its factorization.

1056268512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1056268512 is about 32500.2847987521. The cubic root of 1056268512 is about 1018.4149776871.

The spelling of 1056268512 in words is "one billion, fifty-six million, two hundred sixty-eight thousand, five hundred twelve".