257580825 has 12 divisors (see below), whose sum is σ = 425867088. Its totient is φ = 137376400.

The previous prime is 257580823. The next prime is 257580839. The reversal of 257580825 is 528085752.

It is not a de Polignac number, because 257580825 - 2¹ = 257580823 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257580823) 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 in 11 ways as a sum of consecutive naturals, for example, 1717131 + ... + 1717280.

It is an arithmetic number, because the mean of its divisors is an integer number (35488924).

Almost surely, 2^257580825 is an apocalyptic number.

257580825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257580825 is a deficient number, since it is larger than the sum of its proper divisors (168286263).

257580825 is a wasteful number, since it uses less digits than its factorization.

257580825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434424 (or 3434419 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 42.

The square root of 257580825 is about 16049.3247521508. The cubic root of 257580825 is about 636.2647206025.

The spelling of 257580825 in words is "two hundred fifty-seven million, five hundred eighty thousand, eight hundred twenty-five".