257601625 has 16 divisors (see below), whose sum is σ = 322253568. Its totient is φ = 205590000.

The previous prime is 257601623. The next prime is 257601649. The reversal of 257601625 is 526106752.

It is not a de Polignac number, because 257601625 - 2¹ = 257601623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257601623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55650 + ... + 60100.

It is an arithmetic number, because the mean of its divisors is an integer number (20140848).

Almost surely, 2^257601625 is an apocalyptic number.

257601625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257601625 is a deficient number, since it is larger than the sum of its proper divisors (64651943).

257601625 is an equidigital number, since it uses as much as digits as its factorization.

257601625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4929 (or 4919 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 257601625 is about 16049.9727414099. The cubic root of 257601625 is about 636.2818465538.

The spelling of 257601625 in words is "two hundred fifty-seven million, six hundred one thousand, six hundred twenty-five".