1011605000 has 120 divisors (see below), whose sum is σ = 2757828150. Its totient is φ = 346752000.

The previous prime is 1011604987. The next prime is 1011605059. The reversal of 1011605000 is 5061101.

1011605000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 18472804 + 993132196 = 4298^2 + 31514^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 242936 + ... + 247064.

Almost surely, 2^1011605000 is an apocalyptic number.

1011605000 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 1011605000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378914075).

1011605000 is an abundant number, since it is smaller than the sum of its proper divisors (1746223150).

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

1011605000 is an equidigital number, since it uses as much as digits as its factorization.

1011605000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4169 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 1011605000 is about 31805.7384759417. The cubic root of 1011605000 is about 1003.8534650667.

Adding to 1011605000 its reverse (5061101), we get a palindrome (1016666101).

The spelling of 1011605000 in words is "one billion, eleven million, six hundred five thousand".