10506610261661 has 8 divisors (see below), whose sum is σ = 10751138412960. Its totient is φ = 10262090673072.

The previous prime is 10506610261639. The next prime is 10506610261673. The reversal of 10506610261661 is 16616201660501.

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 10506610261661 - 2¹⁸ = 10506609999517 is a prime.

It is a super-2 number, since 2×10506610261661² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506610261061) 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, 375950 + ... + 4599408.

It is an arithmetic number, because the mean of its divisors is an integer number (1343892301620).

Almost surely, 2^{10506610261661} is an apocalyptic number.

It is an amenable number.

10506610261661 is a deficient number, since it is larger than the sum of its proper divisors (244528151299).

10506610261661 is an equidigital number, since it uses as much as digits as its factorization.

10506610261661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4281355.

The product of its (nonzero) digits is 77760, while the sum is 41.

The spelling of 10506610261661 in words is "ten trillion, five hundred six billion, six hundred ten million, two hundred sixty-one thousand, six hundred sixty-one".