1056056061000 has 128 divisors (see below), whose sum is σ = 3334593225600. Its totient is φ = 278221932800.

The previous prime is 1056056060981. The next prime is 1056056061007. The reversal of 1056056061000 is 1606506501.

1056056061000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1056056061000³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1056056061007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1871595 + ... + 2369594.

It is an arithmetic number, because the mean of its divisors is an integer number (26051509575).

Almost surely, 2^{1056056061000} is an apocalyptic number.

1056056061000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1056056061000 is an abundant number, since it is smaller than the sum of its proper divisors (2278537164600).

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

1056056061000 is a wasteful number, since it uses less digits than its factorization.

1056056061000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4241296 (or 4241282 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 1056056061000 in words is "one trillion, fifty-six billion, fifty-six million, sixty-one thousand".