257388612017 has 8 divisors (see below), whose sum is σ = 260022640680. Its totient is φ = 254759541120.

The previous prime is 257388611983. The next prime is 257388612059. The reversal of 257388612017 is 710216883752.

It can be written as a sum of positive squares in 4 ways, for example, as 4139120896 + 253249491121 = 64336^2 + 503239^2 .

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 257388612017 - 2³² = 253093644721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257388612067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1135034 + ... + 1342787.

It is an arithmetic number, because the mean of its divisors is an integer number (32502830085).

Almost surely, 2^257388612017 is an apocalyptic number.

It is an amenable number.

257388612017 is a deficient number, since it is larger than the sum of its proper divisors (2634028663).

257388612017 is a wasteful number, since it uses less digits than its factorization.

257388612017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478883.

The product of its (nonzero) digits is 1128960, while the sum is 50.

The spelling of 257388612017 in words is "two hundred fifty-seven billion, three hundred eighty-eight million, six hundred twelve thousand, seventeen".