10065706577 has 2 divisors, whose sum is σ = 10065706578. Its totient is φ = 10065706576.

The previous prime is 10065706493. The next prime is 10065706583. The reversal of 10065706577 is 77560756001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7415104321 + 2650602256 = 86111^2 + 51484^2 .

It is a cyclic number.

It is not a de Polignac number, because 10065706577 - 2³² = 5770739281 is a prime.

It is a super-2 number, since 2×10065706577² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10065708577) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5032853288 + 5032853289.

It is an arithmetic number, because the mean of its divisors is an integer number (5032853289).

Almost surely, 2^10065706577 is an apocalyptic number.

It is an amenable number.

10065706577 is a deficient number, since it is larger than the sum of its proper divisors (1).

10065706577 is an equidigital number, since it uses as much as digits as its factorization.

10065706577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 308700, while the sum is 44.

The spelling of 10065706577 in words is "ten billion, sixty-five million, seven hundred six thousand, five hundred seventy-seven".