1006610705517 has 8 divisors (see below), whose sum is σ = 1342189290400. Its totient is φ = 671052962160.

The previous prime is 1006610705459. The next prime is 1006610705519. The reversal of 1006610705517 is 7155070166001.

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

It is not a de Polignac number, because 1006610705517 - 2¹⁰ = 1006610704493 is a prime.

It is a super-2 number, since 2×1006610705517² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006610705519) 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, 5097334 + ... + 5291127.

It is an arithmetic number, because the mean of its divisors is an integer number (167773661300).

Almost surely, 2^{1006610705517} is an apocalyptic number.

It is an amenable number.

1006610705517 is a deficient number, since it is larger than the sum of its proper divisors (335578584883).

1006610705517 is a wasteful number, since it uses less digits than its factorization.

1006610705517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10420763.

The product of its (nonzero) digits is 44100, while the sum is 39.

The spelling of 1006610705517 in words is "one trillion, six billion, six hundred ten million, seven hundred five thousand, five hundred seventeen".