214201250302561 has 2 divisors, whose sum is σ = 214201250302562. Its totient is φ = 214201250302560.

The previous prime is 214201250302399. The next prime is 214201250302577. The reversal of 214201250302561 is 165203052102412.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210315400085025 + 3885850217536 = 14502255^2 + 1971256^2 .

It is a cyclic number.

It is not a de Polignac number, because 214201250302561 - 2²¹ = 214201248205409 is a prime.

It is not a weakly prime, because it can be changed into another prime (214201250302261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107100625151280 + 107100625151281.

It is an arithmetic number, because the mean of its divisors is an integer number (107100625151281).

Almost surely, 2^{214201250302561} is an apocalyptic number.

It is an amenable number.

214201250302561 is a deficient number, since it is larger than the sum of its proper divisors (1).

214201250302561 is an equidigital number, since it uses as much as digits as its factorization.

214201250302561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 214201250302561 in words is "two hundred fourteen trillion, two hundred one billion, two hundred fifty million, three hundred two thousand, five hundred sixty-one".