257266075136041 has 4 divisors (see below), whose sum is σ = 257266115650192. Its totient is φ = 257266034621892.

The previous prime is 257266075136009. The next prime is 257266075136047. The reversal of 257266075136041 is 140631570662752.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 257266075136041 - 2⁵ = 257266075136009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257266075136047) 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, 8430471 + ... + 24199276.

It is an arithmetic number, because the mean of its divisors is an integer number (64316528912548).

Almost surely, 2^{257266075136041} is an apocalyptic number.

It is an amenable number.

257266075136041 is a deficient number, since it is larger than the sum of its proper divisors (40514151).

257266075136041 is an equidigital number, since it uses as much as digits as its factorization.

257266075136041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40514150.

The product of its (nonzero) digits is 12700800, while the sum is 55.

The spelling of 257266075136041 in words is "two hundred fifty-seven trillion, two hundred sixty-six billion, seventy-five million, one hundred thirty-six thousand, forty-one".