257603461 has 2 divisors, whose sum is σ = 257603462. Its totient is φ = 257603460.

The previous prime is 257603449. The next prime is 257603483. The reversal of 257603461 is 164306752.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 257602500 + 961 = 16050^2 + 31^2 .

It is a cyclic number.

It is not a de Polignac number, because 257603461 - 2¹⁵ = 257570693 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257603561) 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 as a sum of consecutive naturals, namely, 128801730 + 128801731.

It is an arithmetic number, because the mean of its divisors is an integer number (128801731).

Almost surely, 2^257603461 is an apocalyptic number.

It is an amenable number.

257603461 is a deficient number, since it is larger than the sum of its proper divisors (1).

257603461 is an equidigital number, since it uses as much as digits as its factorization.

257603461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 257603461 is about 16050.0299376668. The cubic root of 257603461 is about 636.2833582041.

It can be divided in two parts, 257603 and 461, that added together give a square (258064 = 508²).

The spelling of 257603461 in words is "two hundred fifty-seven million, six hundred three thousand, four hundred sixty-one".