257707025 has 6 divisors (see below), whose sum is σ = 319556742. Its totient is φ = 206165600.

The previous prime is 257706983. The next prime is 257707027. The reversal of 257707025 is 520707752.

It can be written as a sum of positive squares in 3 ways, for example, as 7529536 + 250177489 = 2744^2 + 15817^2 .

It is not a de Polignac number, because 257707025 - 2¹⁸ = 257444881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257707027) 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 5 ways as a sum of consecutive naturals, for example, 5154116 + ... + 5154165.

It is an arithmetic number, because the mean of its divisors is an integer number (53259457).

Almost surely, 2^257707025 is an apocalyptic number.

257707025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257707025 is a deficient number, since it is larger than the sum of its proper divisors (61849717).

257707025 is a wasteful number, since it uses less digits than its factorization.

257707025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10308291 (or 10308286 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 35.

The square root of 257707025 is about 16053.2559002839. The cubic root of 257707025 is about 636.3686148497.

The spelling of 257707025 in words is "two hundred fifty-seven million, seven hundred seven thousand, twenty-five".