257096827161 has 12 divisors (see below), whose sum is σ = 380419696020. Its totient is φ = 167217448320.

The previous prime is 257096827151. The next prime is 257096827171. The reversal of 257096827161 is 161728690752.

257096827161 is a `hidden beast` number, since 2 + 570 + 9 + 6 + 8 + 2 + 7 + 1 + 61 = 666.

It is an interprime number because it is at equal distance from previous prime (257096827151) and next prime (257096827171).

It can be written as a sum of positive squares in 2 ways, for example, as 113138049600 + 143958777561 = 336360^2 + 379419^2 .

It is not a de Polignac number, because 257096827161 - 2⁷ = 257096827033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257096827098 and 257096827107.

It is not an unprimeable number, because it can be changed into a prime (257096827151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 348369316 + ... + 348370053.

It is an arithmetic number, because the mean of its divisors is an integer number (31701641335).

Almost surely, 2^257096827161 is an apocalyptic number.

It is an amenable number.

257096827161 is a deficient number, since it is larger than the sum of its proper divisors (123322868859).

257096827161 is a wasteful number, since it uses less digits than its factorization.

257096827161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696739416 (or 696739413 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 257096827161 in words is "two hundred fifty-seven billion, ninety-six million, eight hundred twenty-seven thousand, one hundred sixty-one".