1011334500 has 144 divisors (see below), whose sum is σ = 3480632064. Its totient is φ = 245160000.

The previous prime is 1011334469. The next prime is 1011334507. The reversal of 1011334500 is 54331101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1011334507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39285 + ... + 59715.

It is an arithmetic number, because the mean of its divisors is an integer number (24171056).

Almost surely, 2^1011334500 is an apocalyptic number.

1011334500 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 1011334500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740316032).

1011334500 is an abundant number, since it is smaller than the sum of its proper divisors (2469297564).

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

1011334500 is a wasteful number, since it uses less digits than its factorization.

1011334500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20467 (or 20452 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1011334500 is about 31801.4858143452. The cubic root of 1011334500 is about 1003.7639813357.

Adding to 1011334500 its reverse (54331101), we get a palindrome (1065665601).

The spelling of 1011334500 in words is "one billion, eleven million, three hundred thirty-four thousand, five hundred".