1061505000 has 200 divisors, whose sum is σ = 3716724330. Its totient is φ = 282960000.

The previous prime is 1061504999. The next prime is 1061505001. The reversal of 1061505000 is 5051601.

1061505000 is a `hidden beast` number, since 1 + 0 + 615 + 0 + 50 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1061504999) and next prime (1061505001).

It can be written as a sum of positive squares in 5 ways, for example, as 83942244 + 977562756 = 9162^2 + 31266^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×1061505000² = 2253585730050000000, which contains 22 as substring.

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 (1061505001) 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 49 ways as a sum of consecutive naturals, for example, 403690 + ... + 406310.

Almost surely, 2^1061505000 is an apocalyptic number.

1061505000 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 1061505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1858362165).

1061505000 is an abundant number, since it is smaller than the sum of its proper divisors (2655219330).

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

1061505000 is an equidigital number, since it uses as much as digits as its factorization.

1061505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1061505000 is about 32580.7458478163. The cubic root of 1061505000 is about 1020.0951468337.

Adding to 1061505000 its reverse (5051601), we get a palindrome (1066556601).

The spelling of 1061505000 in words is "one billion, sixty-one million, five hundred five thousand".