257016404515201 has 4 divisors (see below), whose sum is σ = 257023213475632. Its totient is φ = 257009595554772.

The previous prime is 257016404515159. The next prime is 257016404515229. The reversal of 257016404515201 is 102515404610752.

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 257016404515201 - 2⁹ = 257016404514689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257016404515271) 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 3 ways as a sum of consecutive naturals, for example, 3404423595 + ... + 3404499088.

It is an arithmetic number, because the mean of its divisors is an integer number (64255803368908).

Almost surely, 2^{257016404515201} is an apocalyptic number.

It is an amenable number.

257016404515201 is a deficient number, since it is larger than the sum of its proper divisors (6808960431).

257016404515201 is an equidigital number, since it uses as much as digits as its factorization.

257016404515201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6808960430.

The product of its (nonzero) digits is 336000, while the sum is 43.

The spelling of 257016404515201 in words is "two hundred fifty-seven trillion, sixteen billion, four hundred four million, five hundred fifteen thousand, two hundred one".