257054625 has 48 divisors (see below), whose sum is σ = 474771024. Its totient is φ = 133728000.

The previous prime is 257054621. The next prime is 257054639. The reversal of 257054625 is 526450752.

257054625 is a `hidden beast` number, since 25 + 7 + 0 + 5 + 4 + 625 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 219010401 + 38044224 = 14799^2 + 6168^2 .

It is not a de Polignac number, because 257054625 - 2² = 257054621 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 257054625.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257054621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43339 + ... + 48911.

It is an arithmetic number, because the mean of its divisors is an integer number (9891063).

Almost surely, 2^257054625 is an apocalyptic number.

257054625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257054625 is a deficient number, since it is larger than the sum of its proper divisors (217716399).

257054625 is a wasteful number, since it uses less digits than its factorization.

257054625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5635 (or 5622 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 257054625 is about 16032.9231583015. The cubic root of 257054625 is about 635.8311599402.

The spelling of 257054625 in words is "two hundred fifty-seven million, fifty-four thousand, six hundred twenty-five".