10505057617 has 2 divisors, whose sum is σ = 10505057618. Its totient is φ = 10505057616.

The previous prime is 10505057609. The next prime is 10505057729. The reversal of 10505057617 is 71675050501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9492799761 + 1012257856 = 97431^2 + 31816^2 .

It is a cyclic number.

It is not a de Polignac number, because 10505057617 - 2³ = 10505057609 is a prime.

It is a super-2 number, since 2×10505057617² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10505087617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5252528808 + 5252528809.

It is an arithmetic number, because the mean of its divisors is an integer number (5252528809).

Almost surely, 2^10505057617 is an apocalyptic number.

It is an amenable number.

10505057617 is a deficient number, since it is larger than the sum of its proper divisors (1).

10505057617 is an equidigital number, since it uses as much as digits as its factorization.

10505057617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36750, while the sum is 37.

The spelling of 10505057617 in words is "ten billion, five hundred five million, fifty-seven thousand, six hundred seventeen".