10045554555577 has 2 divisors, whose sum is σ = 10045554555578. Its totient is φ = 10045554555576.

The previous prime is 10045554555503. The next prime is 10045554555587. The reversal of 10045554555577 is 77555545554001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7342739643001 + 2702814912576 = 2709749^2 + 1644024^2 .

It is a cyclic number.

It is not a de Polignac number, because 10045554555577 - 2²³ = 10045546166969 is a prime.

It is not a weakly prime, because it can be changed into another prime (10045554555587) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5022777277788 + 5022777277789.

It is an arithmetic number, because the mean of its divisors is an integer number (5022777277789).

Almost surely, 2^{10045554555577} is an apocalyptic number.

It is an amenable number.

10045554555577 is a deficient number, since it is larger than the sum of its proper divisors (1).

10045554555577 is an equidigital number, since it uses as much as digits as its factorization.

10045554555577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 61250000, while the sum is 58.

The spelling of 10045554555577 in words is "ten trillion, forty-five billion, five hundred fifty-four million, five hundred fifty-five thousand, five hundred seventy-seven".