257441586261 has 32 divisors (see below), whose sum is σ = 346609815552. Its totient is φ = 169961621760.

The previous prime is 257441586251. The next prime is 257441586271. The reversal of 257441586261 is 162685144752.

It is an interprime number because it is at equal distance from previous prime (257441586251) and next prime (257441586271).

It is not a de Polignac number, because 257441586261 - 2¹⁷ = 257441455189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257441586251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106247896 + ... + 106250318.

It is an arithmetic number, because the mean of its divisors is an integer number (10831556736).

Almost surely, 2^257441586261 is an apocalyptic number.

It is an amenable number.

257441586261 is a deficient number, since it is larger than the sum of its proper divisors (89168229291).

257441586261 is a wasteful number, since it uses less digits than its factorization.

257441586261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3433.

The product of its digits is 3225600, while the sum is 51.

The spelling of 257441586261 in words is "two hundred fifty-seven billion, four hundred forty-one million, five hundred eighty-six thousand, two hundred sixty-one".