257000001 has 8 divisors (see below), whose sum is σ = 354482880. Its totient is φ = 165425232.

The previous prime is 256999993. The next prime is 257000011. The reversal of 257000001 is 100000752.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 257000001 - 2³ = 256999993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257000011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1476925 + ... + 1477098.

It is an arithmetic number, because the mean of its divisors is an integer number (44310360).

Almost surely, 2^257000001 is an apocalyptic number.

It is an amenable number.

257000001 is a deficient number, since it is larger than the sum of its proper divisors (97482879).

257000001 is a wasteful number, since it uses less digits than its factorization.

257000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2954055.

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 257000001 is about 16031.2195730705. The cubic root of 257000001 is about 635.7861187980.

Adding to 257000001 its reverse (100000752), we get a palindrome (357000753).

The spelling of 257000001 in words is "two hundred fifty-seven million, one", and thus it is an aban number.