10185504976561 has 2 divisors, whose sum is σ = 10185504976562. Its totient is φ = 10185504976560.

The previous prime is 10185504976481. The next prime is 10185504976589. The reversal of 10185504976561 is 16567940558101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5198769366561 + 4986735610000 = 2280081^2 + 2233100^2 .

It is a cyclic number.

It is not a de Polignac number, because 10185504976561 - 2²⁵ = 10185471422129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10185504976496 and 10185504976505.

It is not a weakly prime, because it can be changed into another prime (10185504971561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5092752488280 + 5092752488281.

It is an arithmetic number, because the mean of its divisors is an integer number (5092752488281).

Almost surely, 2^{10185504976561} is an apocalyptic number.

It is an amenable number.

10185504976561 is a deficient number, since it is larger than the sum of its proper divisors (1).

10185504976561 is an equidigital number, since it uses as much as digits as its factorization.

10185504976561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072000, while the sum is 58.

The spelling of 10185504976561 in words is "ten trillion, one hundred eighty-five billion, five hundred four million, nine hundred seventy-six thousand, five hundred sixty-one".