1000616161000 has 32 divisors (see below), whose sum is σ = 2341441819080. Its totient is φ = 400246464000.

The previous prime is 1000616160977. The next prime is 1000616161019. The reversal of 1000616161000 is 1616160001.

It can be written as a sum of positive squares in 4 ways, for example, as 175378363524 + 825237797476 = 418782^2 + 908426^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 500307081 + ... + 500309080.

Almost surely, 2^{1000616161000} is an apocalyptic number.

1000616161000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000616161000 is an abundant number, since it is smaller than the sum of its proper divisors (1340825658080).

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

1000616161000 is a wasteful number, since it uses less digits than its factorization.

1000616161000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000616182 (or 1000616168 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

Subtracting from 1000616161000 its reverse (1616160001), we obtain a palindrome (999000000999).

The spelling of 1000616161000 in words is "one trillion, six hundred sixteen million, one hundred sixty-one thousand".