257447765641 has 8 divisors (see below), whose sum is σ = 280956662784. Its totient is φ = 233956294320.

The previous prime is 257447765593. The next prime is 257447765681. The reversal of 257447765641 is 146567744752.

257447765641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 257447765641 - 2¹⁷ = 257447634569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257447765681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4325550 + ... + 4384663.

It is an arithmetic number, because the mean of its divisors is an integer number (35119582848).

Almost surely, 2^257447765641 is an apocalyptic number.

It is an amenable number.

257447765641 is a deficient number, since it is larger than the sum of its proper divisors (23508897143).

257447765641 is a wasteful number, since it uses less digits than its factorization.

257447765641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8712911.

The product of its digits is 39513600, while the sum is 58.

The spelling of 257447765641 in words is "two hundred fifty-seven billion, four hundred forty-seven million, seven hundred sixty-five thousand, six hundred forty-one".