257125327 has 2 divisors, whose sum is σ = 257125328. Its totient is φ = 257125326.

The previous prime is 257125291. The next prime is 257125331. The reversal of 257125327 is 723521752.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257125327 is a prime.

It is a super-2 number, since 2×257125327² = 132226867569713858, which contains 22 as substring.

It is equal to p_14047495 and since 257125327 and 14047495 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 257125292 and 257125301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257120327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128562663 + 128562664.

It is an arithmetic number, because the mean of its divisors is an integer number (128562664).

Almost surely, 2^257125327 is an apocalyptic number.

257125327 is a deficient number, since it is larger than the sum of its proper divisors (1).

257125327 is an equidigital number, since it uses as much as digits as its factorization.

257125327 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 29400, while the sum is 34.

The square root of 257125327 is about 16035.1279071918. The cubic root of 257125327 is about 635.8894489955.

The spelling of 257125327 in words is "two hundred fifty-seven million, one hundred twenty-five thousand, three hundred twenty-seven".