257410001 has 2 divisors, whose sum is σ = 257410002. Its totient is φ = 257410000.

The previous prime is 257409991. The next prime is 257410037. The reversal of 257410001 is 100014752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 220819600 + 36590401 = 14860^2 + 6049^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257410001 is a prime.

It is a super-2 number, since 2×257410001² = 132519817229640002, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (257410091) 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, 128705000 + 128705001.

It is an arithmetic number, because the mean of its divisors is an integer number (128705001).

Almost surely, 2^257410001 is an apocalyptic number.

It is an amenable number.

257410001 is a deficient number, since it is larger than the sum of its proper divisors (1).

257410001 is an equidigital number, since it uses as much as digits as its factorization.

257410001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 257410001 is about 16044.0020256793. The cubic root of 257410001 is about 636.1240355437.

Adding to 257410001 its reverse (100014752), we get a palindrome (357424753).

The spelling of 257410001 in words is "two hundred fifty-seven million, four hundred ten thousand, one".