10577916577 has 2 divisors, whose sum is σ = 10577916578. Its totient is φ = 10577916576.

The previous prime is 10577916563. The next prime is 10577916599. The reversal of 10577916577 is 77561977501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10346754961 + 231161616 = 101719^2 + 15204^2 .

It is a cyclic number.

It is not a de Polignac number, because 10577916577 - 2⁷ = 10577916449 is a prime.

It is a super-2 number, since 2×10577916577² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10577916527) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5288958288 + 5288958289.

It is an arithmetic number, because the mean of its divisors is an integer number (5288958289).

Almost surely, 2^10577916577 is an apocalyptic number.

It is an amenable number.

10577916577 is a deficient number, since it is larger than the sum of its proper divisors (1).

10577916577 is an equidigital number, since it uses as much as digits as its factorization.

10577916577 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3241350, while the sum is 55.

The spelling of 10577916577 in words is "ten billion, five hundred seventy-seven million, nine hundred sixteen thousand, five hundred seventy-seven".