257161322143657 has 8 divisors (see below), whose sum is σ = 257332908071456. Its totient is φ = 256989782408832.

The previous prime is 257161322143601. The next prime is 257161322143681. The reversal of 257161322143657 is 756341223161752.

257161322143657 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 257161322143657 - 2¹⁹ = 257161321619369 is a prime.

It is a super-2 number, since 2×257161322143657² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 257161322143598 and 257161322143607.

It is not an unprimeable number, because it can be changed into a prime (257161322183657) 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, 406728 + ... + 22682329.

It is an arithmetic number, because the mean of its divisors is an integer number (32166613508932).

Almost surely, 2^{257161322143657} is an apocalyptic number.

It is an amenable number.

257161322143657 is a deficient number, since it is larger than the sum of its proper divisors (171585927799).

257161322143657 is a wasteful number, since it uses less digits than its factorization.

257161322143657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23096487.

The product of its digits is 12700800, while the sum is 55.

The spelling of 257161322143657 in words is "two hundred fifty-seven trillion, one hundred sixty-one billion, three hundred twenty-two million, one hundred forty-three thousand, six hundred fifty-seven".