257257575521221 has 8 divisors (see below), whose sum is σ = 287171247093984. Its totient is φ = 228431673823920.

The previous prime is 257257575521213. The next prime is 257257575521227. The reversal of 257257575521221 is 122125575752752.

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 257257575521221 - 2³ = 257257575521213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257257575521227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 271942468366 + ... + 271942469311.

It is an arithmetic number, because the mean of its divisors is an integer number (35896405886748).

Almost surely, 2^{257257575521221} is an apocalyptic number.

It is an amenable number.

257257575521221 is a deficient number, since it is larger than the sum of its proper divisors (29913671572763).

257257575521221 is a wasteful number, since it uses less digits than its factorization.

257257575521221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543884937731.

The product of its digits is 34300000, while the sum is 58.

The spelling of 257257575521221 in words is "two hundred fifty-seven trillion, two hundred fifty-seven billion, five hundred seventy-five million, five hundred twenty-one thousand, two hundred twenty-one".