257123413 has 2 divisors, whose sum is σ = 257123414. Its totient is φ = 257123412.

The previous prime is 257123407. The next prime is 257123431. The reversal of 257123413 is 314321752.

Together with next prime (257123431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 256736529 + 386884 = 16023^2 + 622^2 .

It is a cyclic number.

It is not a de Polignac number, because 257123413 - 2¹⁷ = 256992341 is a prime.

It is a super-2 number, since 2×257123413² = 132224899025537138, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257123473) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128561706 + 128561707.

It is an arithmetic number, because the mean of its divisors is an integer number (128561707).

Almost surely, 2^257123413 is an apocalyptic number.

It is an amenable number.

257123413 is a deficient number, since it is larger than the sum of its proper divisors (1).

257123413 is an equidigital number, since it uses as much as digits as its factorization.

257123413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5040, while the sum is 28.

The square root of 257123413 is about 16035.0682256110. The cubic root of 257123413 is about 635.8878711717.

The spelling of 257123413 in words is "two hundred fifty-seven million, one hundred twenty-three thousand, four hundred thirteen".