10506577732617 has 8 divisors (see below), whose sum is σ = 14387385724096. Its totient is φ = 6815077448112.

The previous prime is 10506577732601. The next prime is 10506577732631. The reversal of 10506577732617 is 71623777560501.

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

It is not a de Polignac number, because 10506577732617 - 2⁴ = 10506577732601 is a prime.

It is a super-2 number, since 2×10506577732617² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10506577732117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47326926613 + ... + 47326926834.

It is an arithmetic number, because the mean of its divisors is an integer number (1798423215512).

Almost surely, 2^{10506577732617} is an apocalyptic number.

It is an amenable number.

10506577732617 is a deficient number, since it is larger than the sum of its proper divisors (3880807991479).

10506577732617 is an equidigital number, since it uses as much as digits as its factorization.

10506577732617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94653853487.

The product of its (nonzero) digits is 12965400, while the sum is 57.

The spelling of 10506577732617 in words is "ten trillion, five hundred six billion, five hundred seventy-seven million, seven hundred thirty-two thousand, six hundred seventeen".