257984725 has 12 divisors (see below), whose sum is σ = 330933060. Its totient is φ = 199270400.

The previous prime is 257984711. The next prime is 257984729. The reversal of 257984725 is 527489752.

It can be written as a sum of positive squares in 6 ways, for example, as 12404484 + 245580241 = 3522^2 + 15671^2 .

It is not a de Polignac number, because 257984725 - 2⁹ = 257984213 is a prime.

It is a super-2 number, since 2×257984725² = 133112236666651250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257984729) 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 11 ways as a sum of consecutive naturals, for example, 177196 + ... + 178645.

It is an arithmetic number, because the mean of its divisors is an integer number (27577755).

Almost surely, 2^257984725 is an apocalyptic number.

257984725 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257984725 is a deficient number, since it is larger than the sum of its proper divisors (72948335).

257984725 is a wasteful number, since it uses less digits than its factorization.

257984725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355880 (or 355875 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 49.

The square root of 257984725 is about 16061.9029071900. The cubic root of 257984725 is about 636.5971122113.

The spelling of 257984725 in words is "two hundred fifty-seven million, nine hundred eighty-four thousand, seven hundred twenty-five".