257335945574401 has 8 divisors (see below), whose sum is σ = 271232421491880. Its totient is φ = 243774324498432.

The previous prime is 257335945574387. The next prime is 257335945574503. The reversal of 257335945574401 is 104475549533752.

It can be written as a sum of positive squares in 4 ways, for example, as 9482057697025 + 247853887877376 = 3079295^2 + 15743376^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 257335945574401 - 2⁵ = 257335945574369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257335945374401) 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 in 7 ways as a sum of consecutive naturals, for example, 83713708800 + ... + 83713711873.

It is an arithmetic number, because the mean of its divisors is an integer number (33904052686485).

Almost surely, 2^{257335945574401} is an apocalyptic number.

It is an amenable number.

257335945574401 is a deficient number, since it is larger than the sum of its proper divisors (13896475917479).

257335945574401 is a wasteful number, since it uses less digits than its factorization.

257335945574401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167427420755.

The product of its (nonzero) digits is 317520000, while the sum is 64.

The spelling of 257335945574401 in words is "two hundred fifty-seven trillion, three hundred thirty-five billion, nine hundred forty-five million, five hundred seventy-four thousand, four hundred one".