1006009100137 has 4 divisors (see below), whose sum is σ = 1006019650260. Its totient is φ = 1005998550016.

The previous prime is 1006009100099. The next prime is 1006009100141. The reversal of 1006009100137 is 7310019006001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 988600672656 + 17408427481 = 994284^2 + 131941^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006009100137 - 2⁷ = 1006009100009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006009100177) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5130712 + ... + 5323177.

It is an arithmetic number, because the mean of its divisors is an integer number (251504912565).

Almost surely, 2^{1006009100137} is an apocalyptic number.

It is an amenable number.

1006009100137 is a deficient number, since it is larger than the sum of its proper divisors (10550123).

1006009100137 is an equidigital number, since it uses as much as digits as its factorization.

1006009100137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10550122.

The product of its (nonzero) digits is 1134, while the sum is 28.

The spelling of 1006009100137 in words is "one trillion, six billion, nine million, one hundred thousand, one hundred thirty-seven".