16557007363601 has 2 divisors, whose sum is σ = 16557007363602. Its totient is φ = 16557007363600.

The previous prime is 16557007363597. The next prime is 16557007363619. The reversal of 16557007363601 is 10636370075561.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16556956312576 + 51051025 = 4069024^2 + 7145^2 .

It is a cyclic number.

It is not a de Polignac number, because 16557007363601 - 2² = 16557007363597 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 16557007363601.

It is not a weakly prime, because it can be changed into another prime (16557007362601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8278503681800 + 8278503681801.

It is an arithmetic number, because the mean of its divisors is an integer number (8278503681801).

Almost surely, 2^{16557007363601} is an apocalyptic number.

It is an amenable number.

16557007363601 is a deficient number, since it is larger than the sum of its proper divisors (1).

16557007363601 is an equidigital number, since it uses as much as digits as its factorization.

16557007363601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2381400, while the sum is 50.

The spelling of 16557007363601 in words is "sixteen trillion, five hundred fifty-seven billion, seven million, three hundred sixty-three thousand, six hundred one".