1075113000 has 320 divisors, whose sum is σ = 4051167120. Its totient is φ = 264384000.

The previous prime is 1075112999. The next prime is 1075113007. The reversal of 1075113000 is 3115701.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 715716 + 1074397284 = 846^2 + 32778^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075113007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1052490 + ... + 1053510.

Almost surely, 2^1075113000 is an apocalyptic number.

1075113000 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 1075113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025583560).

1075113000 is an abundant number, since it is smaller than the sum of its proper divisors (2976054120).

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

1075113000 is a wasteful number, since it uses less digits than its factorization.

1075113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The square root of 1075113000 is about 32788.9158100722. The cubic root of 1075113000 is about 1024.4356997002.

Adding to 1075113000 its reverse (3115701), we get a palindrome (1078228701).

The spelling of 1075113000 in words is "one billion, seventy-five million, one hundred thirteen thousand".