257324200388641 has 4 divisors (see below), whose sum is σ = 257741257440132. Its totient is φ = 256907143337152.

The previous prime is 257324200388617. The next prime is 257324200388699. The reversal of 257324200388641 is 146883002423752.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 4044137088016 + 253280063300625 = 2011004^2 + 15914775^2 .

It is a cyclic number.

It is not a de Polignac number, because 257324200388641 - 2⁴³ = 248528107366433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257324200380641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 208528524820 + ... + 208528526053.

It is an arithmetic number, because the mean of its divisors is an integer number (64435314360033).

Almost surely, 2^{257324200388641} is an apocalyptic number.

It is an amenable number.

257324200388641 is a deficient number, since it is larger than the sum of its proper divisors (417057051491).

257324200388641 is an equidigital number, since it uses as much as digits as its factorization.

257324200388641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417057051490.

The product of its (nonzero) digits is 15482880, while the sum is 55.

The spelling of 257324200388641 in words is "two hundred fifty-seven trillion, three hundred twenty-four billion, two hundred million, three hundred eighty-eight thousand, six hundred forty-one".