1000611516 has 48 divisors (see below), whose sum is σ = 2475401600. Its totient is φ = 313699392.

The previous prime is 1000611509. The next prime is 1000611541. The reversal of 1000611516 is 6151160001.

It is a junction number, because it is equal to n+sod(n) for n = 1000611492 and 1000611501.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 15906 + ... + 47478.

Almost surely, 2^1000611516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000611516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237700800).

1000611516 is an abundant number, since it is smaller than the sum of its proper divisors (1474790084).

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

1000611516 is a wasteful number, since it uses less digits than its factorization.

1000611516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31738 (or 31736 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 1000611516 is about 31632.4440408894. Note that the first 3 decimals coincide. The cubic root of 1000611516 is about 1000.2037971306.

Adding to 1000611516 its reverse (6151160001), we get a palindrome (7151771517).

The spelling of 1000611516 in words is "one billion, six hundred eleven thousand, five hundred sixteen".