1056051000 has 128 divisors (see below), whose sum is σ = 3661070400. Its totient is φ = 281606400.

The previous prime is 1056050977. The next prime is 1056051001. The reversal of 1056051000 is 1506501.

1056051000 is a `hidden beast` number, since 1 + 0 + 560 + 5 + 100 + 0 = 666.

It is a super-2 number, since 2×1056051000² = 2230487429202000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056051001) 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 31 ways as a sum of consecutive naturals, for example, 7444 + ... + 46556.

Almost surely, 2^1056051000 is an apocalyptic number.

1056051000 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 1056051000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830535200).

1056051000 is an abundant number, since it is smaller than the sum of its proper divisors (2605019400).

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

1056051000 is a wasteful number, since it uses less digits than its factorization.

1056051000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39143 (or 39123 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1056051000 is about 32496.9383173246. The cubic root of 1056051000 is about 1018.3450672167.

Adding to 1056051000 its reverse (1506501), we get a palindrome (1057557501).

The spelling of 1056051000 in words is "one billion, fifty-six million, fifty-one thousand".