1006540232123 has 8 divisors (see below), whose sum is σ = 1023552792000. Its totient is φ = 989544185280.

The previous prime is 1006540232111. The next prime is 1006540232149. The reversal of 1006540232123 is 3212320456001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1006540232123 - 2⁴ = 1006540232107 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006540232023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4005290 + ... + 4249167.

It is an arithmetic number, because the mean of its divisors is an integer number (127944099000).

Almost surely, 2^{1006540232123} is an apocalyptic number.

1006540232123 is a deficient number, since it is larger than the sum of its proper divisors (17012559877).

1006540232123 is an equidigital number, since it uses as much as digits as its factorization.

1006540232123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8256517.

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 1006540232123 its reverse (3212320456001), we get a palindrome (4218860688124).

The spelling of 1006540232123 in words is "one trillion, six billion, five hundred forty million, two hundred thirty-two thousand, one hundred twenty-three".