1011011000 has 128 divisors (see below), whose sum is σ = 2496873600. Its totient is φ = 382412800.

The previous prime is 1011010951. The next prime is 1011011017. The reversal of 1011011000 is 1101101.

1011011000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2598806 + ... + 2599194.

It is an arithmetic number, because the mean of its divisors is an integer number (19506825).

Almost surely, 2^1011011000 is an apocalyptic number.

1011011000 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 1011011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248436800).

1011011000 is an abundant number, since it is smaller than the sum of its proper divisors (1485862600).

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

1011011000 is a wasteful number, since it uses less digits than its factorization.

1011011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

The square root of 1011011000 is about 31796.3991672013. The cubic root of 1011011000 is about 1003.6569437937.

Adding to 1011011000 its reverse (1101101), we get a palindrome (1012112101).

It can be divided in two parts, 101 and 1011000, that added together give a palindrome (1011101).

The spelling of 1011011000 in words is "one billion, eleven million, eleven thousand".