10577916857 has 2 divisors, whose sum is σ = 10577916858. Its totient is φ = 10577916856.

The previous prime is 10577916793. The next prime is 10577916863. The reversal of 10577916857 is 75861977501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7127411776 + 3450505081 = 84424^2 + 58741^2 .

It is an emirp because it is prime and its reverse (75861977501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10577916857 - 2⁶ = 10577916793 is a prime.

It is a super-2 number, since 2×10577916857² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10577916757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5288958428 + 5288958429.

It is an arithmetic number, because the mean of its divisors is an integer number (5288958429).

Almost surely, 2^10577916857 is an apocalyptic number.

It is an amenable number.

10577916857 is a deficient number, since it is larger than the sum of its proper divisors (1).

10577916857 is an equidigital number, since it uses as much as digits as its factorization.

10577916857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3704400, while the sum is 56.

Subtracting from 10577916857 its sum of digits (56), we obtain a square (10577916801 = 102849²).

The spelling of 10577916857 in words is "ten billion, five hundred seventy-seven million, nine hundred sixteen thousand, eight hundred fifty-seven".