201577956116441 has 2 divisors, whose sum is σ = 201577956116442. Its totient is φ = 201577956116440.

The previous prime is 201577956116417. The next prime is 201577956116503. The reversal of 201577956116441 is 144611659775102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 174097337214025 + 27480618902416 = 13194595^2 + 5242196^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-201577956116441 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (201577956116941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100788978058220 + 100788978058221.

It is an arithmetic number, because the mean of its divisors is an integer number (100788978058221).

Almost surely, 2^{201577956116441} is an apocalyptic number.

It is an amenable number.

201577956116441 is a deficient number, since it is larger than the sum of its proper divisors (1).

201577956116441 is an equidigital number, since it uses as much as digits as its factorization.

201577956116441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12700800, while the sum is 59.

The spelling of 201577956116441 in words is "two hundred one trillion, five hundred seventy-seven billion, nine hundred fifty-six million, one hundred sixteen thousand, four hundred forty-one".