1634649271201 has 2 divisors, whose sum is σ = 1634649271202. Its totient is φ = 1634649271200.

The previous prime is 1634649271153. The next prime is 1634649271223. The reversal of 1634649271201 is 1021729464361.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1628625182976 + 6024088225 = 1276176^2 + 77615^2 .

It is a cyclic number.

It is not a de Polignac number, because 1634649271201 - 2²⁷ = 1634515053473 is a prime.

It is not a weakly prime, because it can be changed into another prime (1634649271001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 817324635600 + 817324635601.

It is an arithmetic number, because the mean of its divisors is an integer number (817324635601).

Almost surely, 2^{1634649271201} is an apocalyptic number.

It is an amenable number.

1634649271201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1634649271201 is an equidigital number, since it uses as much as digits as its factorization.

1634649271201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 1634649271201 in words is "one trillion, six hundred thirty-four billion, six hundred forty-nine million, two hundred seventy-one thousand, two hundred one".