10516077617 has 8 divisors (see below), whose sum is σ = 11146202496. Its totient is φ = 9887234112.

The previous prime is 10516077601. The next prime is 10516077619. The reversal of 10516077617 is 71677061501.

10516077617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10516077617 - 2⁴ = 10516077601 is a prime.

It is a super-2 number, since 2×10516077617² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10516077619) 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, 303413 + ... + 336290.

It is an arithmetic number, because the mean of its divisors is an integer number (1393275312).

Almost surely, 2^10516077617 is an apocalyptic number.

10516077617 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10516077617 is a deficient number, since it is larger than the sum of its proper divisors (630124879).

10516077617 is an equidigital number, since it uses as much as digits as its factorization.

10516077617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640687.

The product of its (nonzero) digits is 61740, while the sum is 41.

The spelling of 10516077617 in words is "ten billion, five hundred sixteen million, seventy-seven thousand, six hundred seventeen".