1056311520 has 192 divisors, whose sum is σ = 3728664576. Its totient is φ = 249108480.

The previous prime is 1056311491. The next prime is 1056311537. The reversal of 1056311520 is 251136501.

1056311520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1056311520² = 2231588054569420800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192657 + ... + 198063.

It is an arithmetic number, because the mean of its divisors is an integer number (19420128).

Almost surely, 2^1056311520 is an apocalyptic number.

1056311520 is a gapful number since it is divisible by the number (10) 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 1056311520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864332288).

1056311520 is an abundant number, since it is smaller than the sum of its proper divisors (2672353056).

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

1056311520 is a wasteful number, since it uses less digits than its factorization.

1056311520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5473 (or 5465 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 1056311520 is about 32500.9464477575. The cubic root of 1056311520 is about 1018.4287997398.

The spelling of 1056311520 in words is "one billion, fifty-six million, three hundred eleven thousand, five hundred twenty".