10004705632577 has 2 divisors, whose sum is σ = 10004705632578. Its totient is φ = 10004705632576.

The previous prime is 10004705632549. The next prime is 10004705632613. The reversal of 10004705632577 is 77523650740001.

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., 9787143090481 + 217562542096 = 3128441^2 + 466436^2 .

It is a cyclic number.

It is not a de Polignac number, because 10004705632577 - 2¹⁰ = 10004705631553 is a prime.

It is not a weakly prime, because it can be changed into another prime (10004705632477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002352816288 + 5002352816289.

It is an arithmetic number, because the mean of its divisors is an integer number (5002352816289).

Almost surely, 2^{10004705632577} is an apocalyptic number.

It is an amenable number.

10004705632577 is a deficient number, since it is larger than the sum of its proper divisors (1).

10004705632577 is an equidigital number, since it uses as much as digits as its factorization.

10004705632577 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1234800, while the sum is 47.

The spelling of 10004705632577 in words is "ten trillion, four billion, seven hundred five million, six hundred thirty-two thousand, five hundred seventy-seven".