1056031000 has 64 divisors (see below), whose sum is σ = 2476188000. Its totient is φ = 421545600.

The previous prime is 1056030979. The next prime is 1056031003. The reversal of 1056031000 is 1306501.

1056031000 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-3 number, since 3×1056031000³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056031003) 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, 738286 + ... + 739714.

Almost surely, 2^1056031000 is an apocalyptic number.

1056031000 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 1056031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238094000).

1056031000 is an abundant number, since it is smaller than the sum of its proper divisors (1420157000).

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

1056031000 is a wasteful number, since it uses less digits than its factorization.

1056031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 1056031000 is about 32496.6305945709. The cubic root of 1056031000 is about 1018.3386385405.

Adding to 1056031000 its reverse (1306501), we get a palindrome (1057337501).

The spelling of 1056031000 in words is "one billion, fifty-six million, thirty-one thousand".