257105320577 has 16 divisors (see below), whose sum is σ = 306666197760. Its totient is φ = 210755837952.

The previous prime is 257105320559. The next prime is 257105320597. The reversal of 257105320577 is 775023501752.

It is a cyclic number.

It is not a de Polignac number, because 257105320577 - 2⁸ = 257105320321 is a prime.

It is a super-2 number, since 2×257105320577² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257105320517) 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, 753233 + ... + 1039985.

It is an arithmetic number, because the mean of its divisors is an integer number (19166637360).

Almost surely, 2^257105320577 is an apocalyptic number.

It is an amenable number.

257105320577 is a deficient number, since it is larger than the sum of its proper divisors (49560877183).

257105320577 is a wasteful number, since it uses less digits than its factorization.

257105320577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292352.

The product of its (nonzero) digits is 514500, while the sum is 44.

The spelling of 257105320577 in words is "two hundred fifty-seven billion, one hundred five million, three hundred twenty thousand, five hundred seventy-seven".