457121570671201 has 2 divisors, whose sum is σ = 457121570671202. Its totient is φ = 457121570671200.

The previous prime is 457121570671163. The next prime is 457121570671321. The reversal of 457121570671201 is 102176075121754.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 317853272833600 + 139268297837601 = 17828440^2 + 11801199^2 .

It is a cyclic number.

It is not a de Polignac number, because 457121570671201 - 2⁹ = 457121570670689 is a prime.

It is not a weakly prime, because it can be changed into another prime (457121570671501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228560785335600 + 228560785335601.

It is an arithmetic number, because the mean of its divisors is an integer number (228560785335601).

Almost surely, 2^{457121570671201} is an apocalyptic number.

It is an amenable number.

457121570671201 is a deficient number, since it is larger than the sum of its proper divisors (1).

457121570671201 is an equidigital number, since it uses as much as digits as its factorization.

457121570671201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 823200, while the sum is 49.

The spelling of 457121570671201 in words is "four hundred fifty-seven trillion, one hundred twenty-one billion, five hundred seventy million, six hundred seventy-one thousand, two hundred one".