257335945374401 has 2 divisors, whose sum is σ = 257335945374402. Its totient is φ = 257335945374400.

The previous prime is 257335945374349. The next prime is 257335945374527. The reversal of 257335945374401 is 104473549533752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 224006568988801 + 33329376385600 = 14966849^2 + 5773160^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257335945374401 is a prime.

It is a super-2 number, since 2×257335945374401² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (257335945304401) 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, 128667972687200 + 128667972687201.

It is an arithmetic number, because the mean of its divisors is an integer number (128667972687201).

Almost surely, 2^{257335945374401} is an apocalyptic number.

It is an amenable number.

257335945374401 is a deficient number, since it is larger than the sum of its proper divisors (1).

257335945374401 is an equidigital number, since it uses as much as digits as its factorization.

257335945374401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 190512000, while the sum is 62.

The spelling of 257335945374401 in words is "two hundred fifty-seven trillion, three hundred thirty-five billion, nine hundred forty-five million, three hundred seventy-four thousand, four hundred one".