257525001 has 20 divisors (see below), whose sum is σ = 385790592. Its totient is φ = 171195768.

The previous prime is 257524963. The next prime is 257525003. The reversal of 257525001 is 100525752.

It is a happy number.

It is not a de Polignac number, because 257525001 - 2⁷ = 257524873 is a prime.

It is a super-2 number, since 2×257525001² = 132638252280100002, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (257525003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25396 + ... + 34058.

Almost surely, 2^257525001 is an apocalyptic number.

It is an amenable number.

257525001 is a deficient number, since it is larger than the sum of its proper divisors (128265591).

257525001 is an equidigital number, since it uses as much as digits as its factorization.

257525001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9042 (or 9033 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 257525001 is about 16047.5855193235. The cubic root of 257525001 is about 636.2187526260.

The spelling of 257525001 in words is "two hundred fifty-seven million, five hundred twenty-five thousand, one".