10617654977 has 2 divisors, whose sum is σ = 10617654978. Its totient is φ = 10617654976.

The previous prime is 10617654967. The next prime is 10617655001. The reversal of 10617654977 is 77945671601.

10617654977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7610119696 + 3007535281 = 87236^2 + 54841^2 .

It is a cyclic number.

It is not a de Polignac number, because 10617654977 - 2¹² = 10617650881 is a prime.

It is a super-2 number, since 2×10617654977² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10617654967) 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 as a sum of consecutive naturals, namely, 5308827488 + 5308827489.

It is an arithmetic number, because the mean of its divisors is an integer number (5308827489).

Almost surely, 2^10617654977 is an apocalyptic number.

It is an amenable number.

10617654977 is a deficient number, since it is larger than the sum of its proper divisors (1).

10617654977 is an equidigital number, since it uses as much as digits as its factorization.

10617654977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2222640, while the sum is 53.

The spelling of 10617654977 in words is "ten billion, six hundred seventeen million, six hundred fifty-four thousand, nine hundred seventy-seven".