1055011000 has 64 divisors (see below), whose sum is σ = 2491632000. Its totient is φ = 418089600.

The previous prime is 1055010949. The next prime is 1055011019. The reversal of 1055011000 is 1105501.

1055011000 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 2×1055011000² = 2226096420242000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104161 + ... + 113839.

It is an arithmetic number, because the mean of its divisors is an integer number (38931750).

Almost surely, 2^1055011000 is an apocalyptic number.

1055011000 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 1055011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245816000).

1055011000 is an abundant number, since it is smaller than the sum of its proper divisors (1436621000).

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

1055011000 is a wasteful number, since it uses less digits than its factorization.

1055011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9809 (or 9795 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 13.

The square root of 1055011000 is about 32480.9328683768. The cubic root of 1055011000 is about 1018.0106683664.

Adding to 1055011000 its reverse (1105501), we get a palindrome (1056116501).

It can be divided in two parts, 105 and 5011000, that added together give a palindrome (5011105).

The spelling of 1055011000 in words is "one billion, fifty-five million, eleven thousand".