257052143617 has 16 divisors (see below), whose sum is σ = 261237916800. Its totient is φ = 252882806400.

The previous prime is 257052143597. The next prime is 257052143671. The reversal of 257052143617 is 716341250752.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 257052143617 - 2¹⁵ = 257052110849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257052143687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84305509 + ... + 84308557.

It is an arithmetic number, because the mean of its divisors is an integer number (16327369800).

Almost surely, 2^257052143617 is an apocalyptic number.

It is an amenable number.

257052143617 is a deficient number, since it is larger than the sum of its proper divisors (4185773183).

257052143617 is a wasteful number, since it uses less digits than its factorization.

257052143617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5304.

The product of its (nonzero) digits is 352800, while the sum is 43.

The spelling of 257052143617 in words is "two hundred fifty-seven billion, fifty-two million, one hundred forty-three thousand, six hundred seventeen".