257584000871 has 2 divisors, whose sum is σ = 257584000872. Its totient is φ = 257584000870.

The previous prime is 257584000823. The next prime is 257584000907. The reversal of 257584000871 is 178000485752.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257584000871 is a prime.

It is a super-2 number, since 2×257584000871² (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257584000801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128792000435 + 128792000436.

It is an arithmetic number, because the mean of its divisors is an integer number (128792000436).

Almost surely, 2^257584000871 is an apocalyptic number.

257584000871 is a deficient number, since it is larger than the sum of its proper divisors (1).

257584000871 is an equidigital number, since it uses as much as digits as its factorization.

257584000871 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 627200, while the sum is 47.

The spelling of 257584000871 in words is "two hundred fifty-seven billion, five hundred eighty-four million, eight hundred seventy-one", and thus it is an aban number.