1056258000 has 480 divisors, whose sum is σ = 4309224192. Its totient is φ = 236160000.

The previous prime is 1056257999. The next prime is 1056258011. The reversal of 1056258000 is 8526501.

It is a super-2 number, since 2×1056258000² = 2231361925128000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10457950 + ... + 10458050.

Almost surely, 2^1056258000 is an apocalyptic number.

1056258000 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 1056258000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154612096).

1056258000 is an abundant number, since it is smaller than the sum of its proper divisors (3252966192).

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

1056258000 is a wasteful number, since it uses less digits than its factorization.

1056258000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1056258000 is about 32500.1230766900. The cubic root of 1056258000 is about 1018.4115992489.

The spelling of 1056258000 in words is "one billion, fifty-six million, two hundred fifty-eight thousand".