257195241 has 6 divisors (see below), whose sum is σ = 371504250. Its totient is φ = 171463488.

The previous prime is 257195231. The next prime is 257195249. The reversal of 257195241 is 142591752.

It can be written as a sum of positive squares in only one way, i.e., 179667216 + 77528025 = 13404^2 + 8805^2 .

It is not a de Polignac number, because 257195241 - 2²³ = 248806633 is a prime.

It is a super-2 number, since 2×257195241² = 132298783986096162, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257195196 and 257195205.

It is not an unprimeable number, because it can be changed into a prime (257195249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14288616 + ... + 14288633.

It is an arithmetic number, because the mean of its divisors is an integer number (61917375).

Almost surely, 2^257195241 is an apocalyptic number.

It is an amenable number.

257195241 is a deficient number, since it is larger than the sum of its proper divisors (114309009).

257195241 is a wasteful number, since it uses less digits than its factorization.

257195241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28577255 (or 28577252 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 257195241 is about 16037.3077852862. The cubic root of 257195241 is about 635.9470778914.

The spelling of 257195241 in words is "two hundred fifty-seven million, one hundred ninety-five thousand, two hundred forty-one".