1006610610505 has 8 divisors (see below), whose sum is σ = 1237394506824. Its totient is φ = 785647305600.

The previous prime is 1006610610497. The next prime is 1006610610529. The reversal of 1006610610505 is 5050160166001.

It can be written as a sum of positive squares in 4 ways, for example, as 144446363721 + 862164246784 = 380061^2 + 928528^2 .

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

It is not a de Polignac number, because 1006610610505 - 2³ = 1006610610497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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, 2455147626 + ... + 2455148035.

It is an arithmetic number, because the mean of its divisors is an integer number (154674313353).

Almost surely, 2^{1006610610505} is an apocalyptic number.

It is an amenable number.

1006610610505 is a deficient number, since it is larger than the sum of its proper divisors (230783896319).

1006610610505 is an equidigital number, since it uses as much as digits as its factorization.

1006610610505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4910295707.

The product of its (nonzero) digits is 5400, while the sum is 31.

Adding to 1006610610505 its reverse (5050160166001), we get a palindrome (6056770776506).

The spelling of 1006610610505 in words is "one trillion, six billion, six hundred ten million, six hundred ten thousand, five hundred five".